What was the name of first poem Edgar Allan Poe wrote after death his wife?

Edgar Allan Poe did not write any poems after the death of his wife, Virginia. He died in 1849, and Virginia died in 1847.

It's possible you're thinking of a different poet, or perhaps you are referring to a poem written about Virginia's death.

If you can recall any details about the poem you're thinking of, I might be able to help you figure out what you're looking for.