Kay, this is where things start to speed up, so I'm gonna skip another couple of years.
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The next two years were a blur to Amy. Remus finished his last year of school and on the day he got back for good, he asked Amy to move in with him.
She said yes (with her parent's permission, since she was only 17 and not of legal age in the muggle world) and they rented an apartment (or whatever they call apartments over there) together. Lily and James were already married and Lily gave birth to a baby boy; Harry James Potter.
Amy and Remus were over at Godric's Hollow one night to visit the Potters, along with Sirius. After dinner over there Remus asked Amy if he could talk to her in private. He led her out back to Lily's garden and got down on one knee. Remus pulled out a small velvet box and opened it to reveal a small diamond ring.
"I know it's not much, but it's all I could afford," he said sheepishly. "Amy Maria lee, will you marry me?"
Amy stood there a moment before yelling "YES!" and tackling him.
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Sirius, James and Lily stood by the door to the garden and James and Sirius yelled "Way to go, Moony!" as the saw Amy kiss him fiercely. She stopped kissing him and both of their faces turned bright red.
"Another romantic moment ruined by Messers Padfoot and Prongs," muttered Lily while shifting baby Harry in her arms. "And to think Harry will be influenced by you two for the rest of his life."
"Be afraid," said Sirius.
"Be very afraid," said James.
Lily smacked both of them with her free hand.