Green’s Dictionary of Slang

horny n.3

also horney
[orig. Scot.]

(Aus.) a cow, a bullock; thus horney-steerer, a bullock-driver; thus used generically for the beef interest.

[Aus]Bulletin (Sydney) 22 Sept. 36/1: Now the voice of Jumbuck, Horny and Co. is being heard in the land: ‘interfering with Private Enterprise’.
[Ire]Joyce Ulysses 406: Nix for the hornies.
[Aus]X. Herbert Capricornia (1939) 273: [They] rode in looking for Clean Skins, or unbranded beasts, and for Hornies, or beasts with ingrowing horns.
[Aus]Baker Popular Dict. Aus. Sl. 40: Horney-steerer, a bullock driver.
[US]J. Greenway ‘Australian Cattle Lingo’ in AS XXXIII:3 166: hornies, n. Cattle.