Version #1
From couples facing: Using right arm turn, turn each other 1/4, 1/2, 3/4 or full or even a turn and a quarter, then pull by. Finishes with couples back to back. (Gene McCullough 1970)
COMMENT: Swing the Line Half is a Turn Thru. Perhaps the other fractions would be useful.
Version #2
From facing couples: Swing Thru, Step Thru then turn as the caller directs (Right, Left, In, Out). Various ending formations. (Jim Mayo 1974)
COMMENT: Swing The Line In would be the same as Swing About. This can probably be called directionally.