Come'on, man, let's have some rigor here!
It's "Polk Salad Annie" by Tony Joe White; and the line is "gator's got your granny."
I saw him live and I love that song. It's the first song on my running playlist of some 1,000+ songs. I put the list on shuffle when I run, but half the time I start it from the top with that song because it's kind of a ritual and it gets me started off on a good pace (i.e., a half-step faster than a brisk walk).
Anyway, when you hear the song as often as I have, you don't forget about granny. And for the record, her daddy was lazy and no count, claimed he had a bad back; and her momma--a wretched, spiteful, straight-razor totin' woman--was workin' on the chain gang.
Which makes it all the more tragic that the gator got her granny...chomp, chomp, chomp...