Green’s Dictionary of Slang

broomie n.

also broom-tail
[SE broom, a horse’s tail; note N.Z. broomie, a sweeper in a shearing-shed]

(orig. US) a mustang (esp. a mare) with a short bushy tail.

[US](con. 1890s) P.A. Rollins Cowboy 28: Both South and North might betake themselves to slang and talk of ‘fuzzies’ (Range horses) and ‘broomies’ or ‘broom tails’ (Range mares).
[US] in DARE.
[US]J. Schaefer Mavericks (1968) 140: He was usin that thing to spot lil ol’ broomies back in the canyons an’ chouse ’em down onto the flats. [Ibid.] 156: Come – on – you – lil ol’- broomies. Head-for-the-hills!