Okay, my friend came up with an alternate ending to the movie and with his permission I put it into words! Please R&R! No Flames! Enjoy!

It was just one night. A night that was perfect; or started out perfect at least. Then a giant wall of ice came and destroyed it all, leaving the "Unsinkable ship of dreams" with less than two and a half hours afloat. Then her world came crashing down, Titanic started falling apart, and chaos sank in. And in less than three minutes after she broke apart, Titanic was gone taking fifteen hundred souls down with her. And the ocean doesn't give mercy, it doesn't matter who you are or where you come from, because to her; everyone's the same and she's just a cruel mistress that will take your life as easily as it was created.

Rose Dewitt Bukater was standing on the deck of the Carpathia, staring up at the statue of liberty with the rain pelting down on her, but it's not like she cares, the love of her life is gone, so what does it matter if she's getting drenched to the bone? What really matters to her now? The answer is simple; nothing. Her Jack is gone and she's certain of it, she watched him sink into the ocean as she lost grip on his hand.

"Take a deep breath and don't let go of my hand! We're gonna make it Rose! Ready! Now!"
Then they sank into the ocean along with the great ship. They kept thrashing for the surface; hands still united. Then her grip loosened and his hand slipped from hers, leaving her with nothing to do except watch him sink down into the ocean thrashing around with his arms flailing trying to grab hold of her hand again. But he was too late. And as she went up to the surface, he sank further below it.
She broke to the surface along with the fifteen hundred others. She called out his name several times but after no answer, she decided to stop her unrealistic search and find something to keep her out of the water. After a few minutes of forcing herself to keep swimming she finally found what seemed to be a door from first class. She climbed up on to it and lied down and starred up and the stars and waited. Waited to die, waited to live, waited for an absolution that would never come.
After minutes of gazing up at the star filled sky singing "Come Josephine"; her and Jack's song; she felt a light shine on her face. She turned her head and saw a lifeboat coming back for survivors. She was going to be saved. She tried calling out to them but he voice was too raspy. She thought of staying there to die, "At least I'd be with Jack" she thought. But then she thought of his face, his touch, his eyes that make her weak in the knees, and how he wouldn't want her to die, that he'd want her to survive and live her life, for her to make each day count. And that was what she was going to do; she was going to make each day count weather it was with or without Jack.
She rolled off the door and splashed into the water. She swam over to the frozen officer, grabbed the whistle out of his blue lips and began blowing into it with all the air she still had. The boat finally heard her and began to row back toward her, and after what seemed like hours, the boat finally made its way back. She was helped into the boat and had blankets placed over her by some of the officers. Then, just like the sky above, her world went black.

And now, here she is, standing alone on the deck of the rescue ship, with the rain drenching her to the bone. It doesn't matter though, because everything that mattered to her is gone and can never be replaced because you can't replace the love of your life; and you certainly cannot replace Jack Dawson.
"Can I take your name please love?" a steward asked, he could tell by the look in her eyes that she lost a loved one, because even though she looked fine outwardly, her eyes told a totally different story; one of depression and loss.

"Dawson." She said, her eyes never leaving the statue of liberty, "Rose Dawson." "Thank you."
The Carpathia would soon be docking in New York, but it's not like it really matters to Rose, when she pictured docking in New York just three nights ago, she imagined her and Jack walking off the steerage plank hand in hand. But that's just a fantasy now and this fantasy could never come true. She decided it was time to get ready, putting her hands in her pockets she started making her way to the gangway until she felt a cold hard lump in one of the pockets; stopping, she took it out, the heart of the ocean was in her hand. "Cal must've put the diamond in the coat…then put the coat on me." She just had to laugh at his stupidity; only Cal would take something so valuable, put it in a coat, and then put the coat on someone else.
She placed the diamond back in the coat and started walking toward the gangway until someone banged into her, "Sorry ma'am, I wasn't watching where I was going." "It's oka-," she said turning around, "Jack?" Right in front of her was Jack. "I-I, I thought I, you-" then she broke and collapsed into his strong arms. "Oh God. I thought I lost you." She stayed there like that for minutes; crying into his shirt, breathing in his smell, remembering what it felt like to be in his strong arms. "Never leave me again."
"I won't, I'm not going anywhere, I promise. I love you Rose. I'll take you anywhere you want to go, we may not have any money but we have each other."
"I love you too. And we don't have to worry about money." She said taking his hand and putting it in the coat pocket, "You would think Cal would be smarter than that." She laughed, "What happened after I, after I, let, let go?" she asked, becoming serious.
"Well, basically, I kept kicking and I finally surfaced, after that I swam until I a deck chair to rest on, my legs were still in the water but it kept my chest and head out of the water. Then when the boat came back I started slapping the water with my hand and they picked me up; then I just blacked out and woke up in the infirmary. What uh, what about you?"
"After I surfaced I basically did the same as you; except I found a part of a first class door that kept my whole body out of water, but when the boat came back I couldn't call out for them so I ended up taking a whistle out of a frozen officer's mouth. Then basically the same thing happened to me; I got picked up and then I black out. So, so what are we going to do next?"
"You wanna go to Santa Monica?" Jack asked, grabbing Rose's hand, stroking her knuckles, "Drink cheap beer, ride the rollercoaster till we throw up, ride horses right in the surf… like a man?" "You really mean it?" "I mean it." "Then let's go." She said leaning in and kissing him.
"Did, did the steward already come to take your name?" Jack asked as they broke apart from the kiss.
"Yes."
"But, there was no Rose Dewitt Bukater on the list…"
"Did you check for Rose Dawson?" she asked smiling, in response all Jack could do was laugh, "No I didn't," he laughed. "…Hey Rose?" he asked looking in her eyes, "Do you wanna make that official?"