I am sure there are at least as many versions of motions as there are variations in lyrics (or spelling) but here is one, as performed by Danny O'Flaherty; called 'The Ladies of the Harem' it was a big favorite in O'Flaherty's in New Orleans, and usually involved a row of folks up front to 'lead' the group in motions; it was fun to 'draft' someone who had not heard the song before (i.e. a 'Harem virgin') to come up to try. As the song got faster, the attempts at maintaining the motions got funnier. The verses were sometimes compressed, sometimes drawn out.

Oh, the ladies (hands to bosom, cupping movement) of the harem (hands to face, simulating veil) of the court (hands to head, who knows why) of King Caractacus (fingers up like antlers; headdress? crown?) are just passing by (both hands chest level, across front to side in wave-like motion).
The noses (point to nose) on the faces (hands to cheeks) of the ladies...
The powder (motion of getting powder from compact, left hand, onto puff, right hand) on the noses (instead of pointing, act as if powdering nose) on the faces...
The men (two variants: if kids around, arms out flexing muscles; later in evening, both hands, palms in, to crotch area) who put the powder...
The britches (hold out sides of 'trousers'; this looks particularly silly in a skirt) on the men...
The tantalizing stitches (motions of sewing) in the britches...
The fascinating witches (hands over head making pointed hat shape) [who] put the tantalizing stitches...
(the 'who' is usually omitted in the interest of rhythm, and speed by now)
If you want to see (hand over eyes to peer around)
If you want to see (a third higher)(same)
DO YOU WANT TO SEE (another third higher)(same, and 'egging on' motions to crowd to urge them to indicate they want to see,
then racing through the whole bit at breakneck speed to)
You're too late! (hands thrown out in 'what can I do?' gesture)
They just passed by....(waving off to side)