a child's rocker with a seat mounted between supports typically designed in the form of horses, swans, etc.
3.
an open pie with a filling of molasses and brown sugar
: in full shoofly pie
Word origin
(sense 1) < phr. shoo, fly, don't bother me, in a Civil War nonsense song; (sense 3) said to be so named from attracting flieswhich must be shooed away