Stilly River Sage wrote, "The plane was named after the pilot's mother"

And the pilot's name was Paul Tibetts. Probably not important to the song, but it can't hurt to mention it.

Also, since I'm being ultra-pedantic, "Little Boy" was a uranium bomb, while the bomb on Nagasaki, "Fat Man," was a plutonium bomb. It would probably take a pretty strange songwriter to make note of that, but hey, a little ridiculous detail never hurt anyway.