"In the Wilderness" is an interesting one.
Botkin, p. 288, say the game is also called "On to Galilee." He gives directions for the game:
"The lady in the center. You keep going round her. Then hands up and go the other way. Then you swing her if it's your partner. Repeat until all the girls have been swung. Then the boys get in the center with- 'first old soapstick (toothpick, slopbucket, gentleman,'), etc."
B. A. Botkin, 1937; 1963, "The American Play-Party Song," University Studies Univ. Nebraska vol. 38, no. 1-4; reprint Frederick Ungar Pub. Co., NY.

Botkin refers to "Below Galilee" in Newell, but this is part of a game called "Swine-herders" or "Hog-drivers." Although possibly the verse is related, the game is quite different. Pp. 232-233, no. 164, North Carolina; with music, mountain whites.

Come under, come under,
My honey, my love, my heart's above-
Come under, come under,
Below Galilee.
W. W. Newell, 1883, 1903; Dover reprint 1963, "Games and Songs of American Children," Harper & Bros.; Dover.

"Dropner"- Could be dropsy, but minstrels used invented words and the composer may have had nothing specific in mind.