I am pretty sure that this story concept has been done before but I am doing it anyways.
The TARDIS flashed and whirred as it landed on the busy streets of Chicago. The year was 2011 and the Doctor had just said good-bye to Donna. He stepped out to see the streets were filled with business men and women, tourists, shoppers and many more. He smelt the smell of dirty water hotdogs and just had to find a stand. He found one on a street corner.
"Ah yes! I love a good hot-dog when I come to America!" the Doctor said with enthusiasm rubbing his hands together ready to invite the warm hot-dog into his mouth and taste pure magic.
"What you wan' on it pal?" the vendor asked him.
"Just a plain hot-dog, nothing on it." the Doctor replied with a smile. The vendor looked at the Doctor and rolled his eyes and huffed.
"You sure you don' wan' Chicago style or nothin'?" the vendor asked reaching for the tongs to pull the hot-dog out of the water.
"Yes." the Doctor said as if he were in a hurry.
"Alright man, suit yourself." the vendor grabbed the hot-dog and placed it in a bun. "That will be two dollars." The Doctor then handed him two dollars and took the hot-dog from the vendor. The Doctor walked away from the vendor and was about to take a bite, that was until he heard police whistles. He put the hot-dog back into the container and watched as a girl in her late teens ran down the street. The cops yelled at her to stop running. The Doctor saw that there was no way the cops could catch her. He then went back over to the vendor.
"Excuse me, could you tell me who that is?" the Doctor asked.
"That's Maria Rodriguez." the vendor said.
"Why are the cops chasing her?"
"She's a stealer to the cops but a saint to the poor people of Chicago."
"A saint? How?" the Doctor wanted to know more.
"She steals from the rich and gives to us poor who can't get a break because of dem guys on Capital Hill. Wanting to give tax breaks to the rich while I gotta sell hot-dogs on a street corner trying to keep my kids fed. Did you know that the top hedge fund owner makes more in an hour than I will in a lifetime. And get this..." at this point the Doctor stopped listening to the vendor talking about his economic situations and walked away. The vendor cursed under his breath and got back to making hot-dogs.
The Doctor started heading back to his TARDIS when all of a sudden a policman stopped him.
"Sir, did you see where that girl went?" the police officer asked.
"Nope." was all the Doctor said.
"Are you sure?'
"Yep."
The policeman then walked away from the Doctor and proceeded to ask more people where Maria had went. The Doctor strolled down the street and turned into the alley way where he had parked the TARDIS. He bit into his hot-dog and immediately spit it out for there in front of the TARDIS staring dead at it was Maria. She stood there with her head up and her deep brown eyes staring at the blue polic box.
"Hello." the Doctor said. Maria only lifted her hand in aknowledgement that she had heard the Doctor. "What are you staring at?" the Doctor asked.
"What do you mean what am I staring at?" Maria said, "I'm staring at a freaking British police call box in the middle of Chicago, that's what I'm staring at!" Maria yelled lifting her hand gesturing to the TARDIS.
"How can you see that?" the Doctor was taken aback for in England nobody had ever noticed it before. The only ones who ever knew it's presense were his companions, those who were extraterrestrial and him.
"Well, I ain't blind." Maria said turning to the Doctor. Maria came up to the Doctor's chest in height. She had long and curly brown hain and light brown skin. The Doctor looked at her and she curiously looked at him. "Now why did you ask if I could see it. Its just a police box, ain't it? I mean there is nothing special about it is there?" Maria was very suspicious and she looked through squinted eyes at the Doctor.
"Nope. Nothing special." th Doctor said quickly and Maria wasn't buying it.
"Then why are you so jumpy and why is it in a deserted alley? There has to be some connection between you and that box." Maria stepped closer to the Doctor, "And I want to know what it is."
The Doctor stared at her and knew that he was cornered. "Suspicious aren't we? What makes you think I have to do anything with it? Maybe I am just jumpy." the Doctor asked stepping closer to Maria.
"For one, I ain't dumb and I can tell when somethin' ain't right. Also every time I mention that box your eye widen and you clench your jaw. I know you have got something to do with it." Maria pointed to the Doctor and he stepped back.
"Okay, the box is mine." the Doctor sighed.
"I knew it! Why do you have it anyways?" Maria asked.
"So many questions."
"Hey answer me!" Maria yelled to the Doctor.
"Okay okay, if you must know I live in there."
"The way you're dressed in that snappy suit, I would not know you were homeless." Maria said.
"I'm not homeless, I just wander." the Doctor said.
"Wander? How do you wander with that thing?" Maria asked. The Doctor knew he couldn't get out of this one. He stared at Maria for a while.
"How old are you?" the Doctor asked.
"What's it to you?" Maria asked as she stepped back from the Doctor and her eyes widened.
"Insurance purposes." the Doctor answered.
"Seventeen, eighteen in May." Maria said folding her arms.
"Wait, it's the afternoon on ," the Doctor licked his finger and held up that finger to the wind, "September, 18th and you aren't in school?" the Doctor said concerningly. Maria lowered her head.
"I don't go." Maria whispered loud enough for the Doctor to hear.
"Why?" the Doctor asked.
"Cause I ain't got the time or patience. I need to help my family and the people of Chicago. I didn't get the nickname St. Maria sittin' in class!" Maria shouted.
"Ah, I see. Support your family? Don't your parents do that?" the Doctor asked.
"No, I ain't got none. My family and I are a group of kids that are homeless, orphaned and starving. We steal from the fat cats so we don't starve to death! Me being one of the oldest has to suppory us in some way and school ain't going to put the food on the table." Maria explained.
"Why not get a job?" the Doctor asked.
"In this economy, I don't think so." Maria answered.
"Alright, now that I have gotten that answered, how would you like to come with me?"
"What? Where?" Maria asked.
"Anywhere."
"How?"
"This box." the Doctor gestured with his head to the TARDIS.
"Wait, are you saying this box can move? Its a little early for a guy to be drunk already." Maria chuckled in disbelief at what the Doctor was saying.
"Come inside if you don't believe me." the Doctor walked towards the TARDIS and unlocked the doors and swung them open.
"Its a police call box. No way am I going in there with you!" Maria scoffed. Soon, Maria heard police whistles and saw the police round the corner.
"Suit yourself, be caught." the Doctor said and slowly closed the doors. Maria looked around and saw that the police were running down the street and they had spotted her. Maria hesitated and closed her eyes and swallowed spit in her mouth.
"Wait!" Maria called out and ran through the door of the TARDIS and shut the door. She looked around and saw the Doctor by the control center. Maria walked up to where the Doctor was sitting and sat down in a small chair. She did not say anything but just looked at the Doctor.
"Don't you want to say anything?" the Doctor asked.
"Nope." Maria said looking at the Doctor.
"Are you sure? Wouldn't you say that it is bigger on the inside than on the outside?" the Doctor urged her to say that every companion says.
"Yeah, so is my sister Josephine's mouth. It doesn't surprise me considering at how strange you are." Maria said. The Doctor looked at her and then back to the controls.
"Well, you may want to hold on because this is going to get a lot weirder." the Doctor then started up the TARDIS and the TARDIS started whirring and moving uncontrolably and Maria seemed unphased by the quick and constant motion of the TARDIS. The Doctor only looked at her in disbelief and confusion.
"What? Why aren't you falling out of your seat?" the Doctor shouted through the sound of the TARDIS.
"I've walked alongside windows outside of the twentieth floor of a ritzy hotel to steal some guys wallet and other things he could easily do without and replace. I've got great balance. Nothing disturbs my inner and outer stability. By the way you never said who you were." Maria said.
"I'm the Doctor." the Doctor said proundly. Maria looked at the Doctor skeptically.
"Got a real name or are you running from the government too? Maria asked.
"You could say that I am running." the Doctor said looking at Maria.
"Alright, Doctor." Maria was still a little suspicious of his name but she figured that they were somewhat the same.
Soon the TARDIS landed. The Doctor smiled at Maria and Maria stared at the Doctor as if he were crazy. The Doctor opened the door to the TARDIS and sunlight shone on his face and he took a deep satisfied breath.
"Come have a look, Maria." the Doctor said. Maria didn't got off the chair, expecting that they had not moved a single inch and the police were waiting to arrest her and give the Doctor a reward.
"How do I know that the police ain't waiting to arrest me once I go outside?" Maria asked.
"How do you know they are?" the Doctor retorted. Maria then shrugged her shoulders and slowly got off the chair. She took a deep breath and walked over by the Doctor.
All Maria saw outside was a forest and a small lake. The peeked through the tall trees and Maria just stared. Soon, the moment was broken when the Doctor shouted for Maria to duck and an arrow had flown into the TARDIS.
"Where are we and what the hell was that?" Maria shouted to the Doctor.