Well, actually there are several traditional songs that might be considered from the DT:

The Gay Caballero
Gay Spanish Maid
Lady Gay
Gay Gashawk
Enola Gay (may be a stretch)
A Bold Lover Gay
Come all You Garners Gay (whatever a garner might be)

And there's "The Lavender Cowboy" who "died with his sixgun a-blazing but only three hairs on his chest."

Cheerily,
Charley Noble