fantasy fiction about a young man that never ages but falls in love with a girl that does

I remember my fifth grade teacher reading a book to the class though I can't remember the book title or the author and it's driving me crazy because I have tried googling it and nothing pops up. It's about this young boy that never ages, him and his family. They drank this magical water from this one tree that no longer grows. This young boy falls in love with this young girl and they end up getting together. He ends up telling her his secret because the people he lives around him and his family started to realize that they haven't age at all since they have lived there. He gives his last magical water to this young girl and tells her to drink so they can be together for ever but if she does she's basically giving up her life so that means, she wouldn't be able to have any kids. He ends up saying towards the end that if she doesn't drink the magical water that he'll understand and to live it near this one tree that they would always hangout. Years and years passed and he then went back to the tree to see if she had drank the magical water. Turns out he finds the magical water with a note saying that she has married, had a little girl, and that she was sorry for not drinking the magical water. He then finds out that the young girl had pasted away with her husband buried next to each other and he visits her grave every time he returns home.
If anyone knows the book or any suggestion what the book could be would be fine.

Pretty sure this has to be Tuck Everlasting.

thank you so much... it's definitely the book I was looking for.