I found a couple of audio samples of the One Riot One Ranger version and was able to transcribe this much:

Hawk and the buzzard went to war.
Hawk came back with a broken jaw.
Hawk and the buzzard see the crow.
Ain't gonna go to war no more.

[CHORUS] What's the man's name? Hinky-Dinky-Dee.
Mighty bad man but he can't catch me.
Great big bag and a great big hoe.
See him comin' and away we go.