Okay I read this a long time ago and it was just freaking amazing but I can't remember the name of it. It was on my old computer which crashed so I am at a loss. Here's the plotline:

The battle with Naraku is over and it seems that Kagome is the only one who survived.
She walks many many miles to a hotspring where Sesshoumaru finds her and demands to know where the others are. She tells him that they are dead. Some other dialogue happens and he eventually throws her into the hotspring. She allows herself to sink so Sesshoumaru jumps in after her and saves her. For some reason he decides to care for her afterwards and he eventually falls in love with her and they have sex, even though she's pretty close to catatonic.
The inu gang isn't dead and they, along with Kouga and Ayame I believe, catch up with them.
I distinctly remember a cave scene where Rin accidentally spills hot water on Kagome who reacts and it sends Sesshoumaru into his demon mode but Kagome coming back to herself stops him. Lots of stuff happens and Kagome's condition takes a turn for the worse so they use the Shikon no Tama to save her, which has the dragon, Midoriko, and Touga's soul inside of it. She lives and they get a happy ending.

Please will someone tell me the name of this story and where I can find it!

Is this the one your looking for.
Reading your description this came to mind.

Unworthy One by Vyncent

dokuga.com/spark/story/1349/1

yea its unworthy one all right. Discord-maru got it right.

YES!! OMG You two thank you SOOO MUCH! You guys rock!