This unreleased Neutral Milk Hotel song was probably recorded around 1993. It came to light circa 2004 with the other "Unreleased Demo #2" tracks when they mysteriously popped up online. Since no title was given, fans referred to it as "I Bring Jennifer". It was later confirmed to be simply titled "Jennifer" and showed up on Shannon's Monroe House Demos. There, it was basically the same version, but in slightly better quality, plus it included one additional line that was omitted from the already circulating version ("I bring Jennifer oatmeal"). The song sticks out against typical NMH material in that it's a happy pop song with a lot of bluesy guitar work.
By the way, the song was not written for the same Jennifer as "Three Peaches", as Shannon confirmed that it predates when the two met. And it's probably also not about Gennifer Flowers, the woman who in 1992 claimed she had a twelve-year affair with Bill Clinton... although that would be silly if it was.
I bring Jennifer flowers
And we dance in the leaves
I bring Jennifer oatmeal
And we put on our pants
I bring Jennifer sailboats
The trumpets will blow
Jennifer (la, la, la, la, la, la, la, la)