I'm on a very similar search. My great-grandmother was born in western Alabama then moved to Oklahoma (Indian Territory at the time), and she used to sing another version. She did not include any of the traditional "Froggie Went-a-Courtin" lyrics as some do, but I think all these songs are related.

Kymo naro gilto karo
Kymo naro gilto
Stringtum diddybo la to the rinctum
Stringtum body mitta kymo

Hope this helps.