English versions are uncommon. Not in Gomme. The Opies have two.

Lyr. Add: Skip to My Lou

Lou, lou, skip to me lou, (3x)
Skip to me lou, my darling.

Lost my partner, what shall I do? (3x)
Skip to me lou, my darling.

I've found anuvver one, just like you, (3x)
Skip to me lou, my darling.
1976, From small cockneys whirling round in a circle. Iona and Peter Opie, 1985, "The Singing Game," pp. 319-320. In Louth, 1961, chilren confirmed that the way to play the game was to 'go quickly round, singing the song.'
The Opies note that more sophisticated wordings are found in Brian J. Sims "Cub Scout Songs, 1972. In J. E. Tobitts teaching manual "Singing Games for Recreation," 1938, more sophisticated movements are found. A slightly more sophisticated dance was found in 1961, between Glasgow and Paisley:
Skip, skip, skip to m'loo...
Skip to m'loo, my darling.
Slice the butter, choo, choo, choo...
Skip to m'loo my darling.
"The girls interrupted their circling to dance a pas de basque step opposite their neighbour."

Loo is an old dialect form of 'love,' (Opies'), but whether that is meant in the song is uncertain. I haven't found the song in Gomme and other older English references; it is conceivable that the song is an import from America.
I may be wrong in calling the Lomax attribution 'fakelore.' I was basing the remark on Perrow, 1913, JAFL 26, p. 136, who remarked that "lou is a common term for sweetheart in eastern Tennessee."

The Opies have an interesting note about the tune, which Simpson, in "The British Broadside Ballad," says the tune of "Skip to My Lou" 'bears strong traces' of the tune "Dargason," first found in the 16th. c. Does anyone know this tune or a source for it?

Not seen is the version in Grace Cleveland Porter, 1914, "Negro Folk Singing Games." (A rare book).