From the context it seems unlikely that this is related, but the coincidence of the names is interesting.

My wife's late grandmother in Huntingdon, Tennessee, when I asked her about play party and game songs from her girlhood, mentioned three. One was "Rosa, Betsy, Dinah." She didn't remember anything but the title.

If you're curious, the other two song titles she mentioned (but knew no lyrics) were "Pretty Bird in My Cup" and "Wilson Ballroom."

I've never found words or tune to any of them.

Bob