More from the Opies, p. 394-

"It would seem likely, for the dance was known at least as early as 1745, when it was used as the basis for a political song "In and Out and Turn About: A new C-----t Dance. To the tune of John Bob'd In and John Bob'd Out, or...."
The song sheet is headed One TOOL In, The Other TOOL Out, And so they DANCE LOOBY round about.
he 11th verse...
Mhe Pl-m-s cut clean
(B---h danc'd so high,
He soon tumbl'd down,
With one Foor In,
And the other Foot out,
But yet he hops
Looby round about &c.

In France the song is "La Mistenlaire...
Also in Germany, etc.