1- 8 1s+2s+3s Adv&Ret 1 step twice, circle 6H round to left ½ way
9-16 3s+2s+1s Adv&Ret 1 step twice, circle 6H round to right ½ way back to places
17-24 1s+2s circle 4H round to left ½ way and change places RH with partners, 1s+3s circle 4H round to left and change places RH with partners
25-32 1s set, cast up to 2nd place, 2s+1s+3s turn RH
(MINICRIB, Dance Crib compiled by Charles Upton, Deeside Caledonian Society, and his successors)
I also suggest that this is possibly a reference to the many works of art entitled The Three Graces dating back to the 16th-century painting by Raphael.
I could well be wrong on both counts, so don't quote me!
Pictured below is Antonio Canova's statue The Three Graces, a Neoclassical sculpture, in marble, of the mythological three charites, daughters of Zeus - identified on some engravings of the statue as, from left to right, Euphrosyne, Aglaea and Thalia - who were said to represent beauty, charm and joy. The Graces presided over banquets and gatherings primarily to entertain and delight the guests of the Gods.