I've been checking the verions I have.

Sally in the Garden in Am is a fiddle tune I got from the Fiddler's Fakebook. It is a square dance type of tune, not intended to be sung.

Sally in the Garden Assisting Sam is from the same source. It is definitely a different tune.

Sally in the Garden from TheSession.org is in Dm, but on reflection it is not different enough from the version in the Fiddler's Fakebook to merit my printing and keeping it.
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The tiresome "lyrics" people have been posting sound like playground doggerel. I wonder if they got their start when some unlucky girl named Sally had the misfortune to be fat, homely, nearsighted, red-headed or just born to be bullied in some other sense.