Green’s Dictionary of Slang

bale of hay n.

[SE bale + hay/straw n. (2)]

1. (US short order) corned beef and cabbage.

[US] ‘Dict. of Diningroom Sl.’ in Brooklyn Daily Eagle 3 July 13: ‘Bale o’ hay,’ is corned beef and cabbage.

2. (orig. US theatre, also bale of straw) a white woman, esp. a blonde.

[US]Irwin Amer. Tramp and Und. Sl. 21: Bale of Straw.—A blonde woman. Very generally used in circus and carnival circles.
[US]Monteleone Criminal Sl. (rev. edn).
[US]Ragen & Finston World’s Toughest Prison 790: bale of hay [...] bale of straw – A blonde woman.

3. (US) a strawberry ice-cream.

[US]W. Winchell On Broadway 10 June [synd. col.] A ‘bale of hay’ or a ‘stack of straw’ is a dish of strawberry ice cream.