Suggest you try to get "Egbert van Heemskerck's Quaker Meetings Revisited," Harry Mount, Journal of the Warburg and Courtald Institutes, vol. 56, 1993, pp. 209-228, which may have citations to references on Quaker dances.

Nothing in:
Eckenstein, Comparative Studies ...
Gomme, The Traditional Games of England, Scotland and Ireland
Opie and Opie, The Singing Game
Botkin, The American Play Party Song
Newell, Games and Songs of American Children
Olson, British Isles Country Dances of the Eighteenth Century