First Doctor, with Susan as a companion. A few months before An Unearthly Child.
Hi, so this idea is very vague right now, but I came up with this and just had to write it down. This may be the only chapter you get in this story, this may be a thirteen part series with one story per doctor, all I know is each chapter will be a different scenario about just the ordinary things happening in the doctor's life, well, as ordinary as things get anyway.
"Hey Susan," ten year old Alex grinned, "we're going swimming, wanna come?"
Although Susan never had many friends at Coal Hill School, she did play with some of the younger children that lived near the old junkyard where her grandfather's TARDIS sat.
"Alright, I'll go ask my grandfather." She went into the junkyard, (always a bit down the street so no one suspected anything.) and opened the police box doors.
"Grandfather, the children I told you about are going swimming, can I come?"
"Hmm? I don't see why not."
She sighed and started out the doors. "Great I'll be back in half an –"
"Hold it young lady, aren't you forgetting something?"
A few minutes later.
"What's with the dress?"
Mary, and Anna, who always played together, stared at each other, and then giggled.
"We lived in a colder climate before we came here and this is the only swimwear that fits."