he did "record" a black betty version, as did many other artists. it's on the album "Privat 2"
http://daz.com/releases/Lynyrd%20Skynyrd/privat%202.html
http://en.wikipedia.org/wiki/Black_Betty
*************EDIT:
The original Skynyrd, with Ronnie Van Zant as the main vocalist, never recorded Black Betty. It is possible they covered the song, as it was popular back then, but it was not released on any of their albums. Somebody listed Black Betty as being done by Skynyrd on Limewire, but this version was not them.
As for the Tribute Band (or, Current Lynyrd Skynyrd), I don't know, but there is no album entitled "Private 2", so the guy that typed what's up there was wrong. As well, Skynyrd is not a "He", it was a band (Ronnie Van Zant on vocals, Allen Collins, Gary Rossingon, Steve Gaines/Ed King on guitar, Leon Wilkeson on bass, and Artimus Pyle/Bob Burns on drums).
************** IMPROVEMENT:
The song that's on Limewire and claims to be Lynyrd Skynyrd is a group called Ram Jet that recorded the song in 1977 and released as the first trach on their album "Ram Jet".
NOT LYNYRD SKYNYRD
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There are many theories but I have heard that a "Black Betty" was a flint-lock musket with a black painted stock. In the song "bam-ba-lam" refers to the sound of the gunfire. And her child is kills she made. But Black Betty is an old African American slave song so who really knows. Other Theories Black Betty is a Black Chick... Black Betty is a VD... Black Betty is the stocks that misbehaving slaves where taken to be shot at.
Off the top of my head, Back Seat Betty by Miles Davis, Betty by Taylor Swift, Betty Boop by Charlie Puth, Black Betty by Ram Jam, and Pretty Betty by Bobby Darin. Hope this helps!
Black Betty is an old African American Slave song. It was sung during menial tasks to keep up moral.
Ram Jam
Its Black betty by Ram Jam