Green’s Dictionary of Slang

scrag n.2

[? backform. f. SE scraggy/SE scrag-end, the worst part of anything]

1. an unattractive woman.

[[UK]Duncombe New and Improved Flash Dict. n.p.: Lamb, scragg of a withered old woman].
[Aus]Sport (Adelaide) 11 Oct. 4/2: I am glad to see you have turned the beer and the two Port scrags down.
[US]Reading (PA) Eagle 20 Mar. 7/2: When Joe College refers to the campus co-ed, it’s usually ‘chippie’ or ‘scrag’.
[Can]Totally True Diaries of an Eighties Roller Queen 20 Feb. 🌐 Heather is such as [sic] scrag. She phoned and pretend she was Tracey F. Kerrie phoned her up and goes, ‘Ya big fat ugly scrag.’.
[Aus]B. Moore Lex. of Cadet Lang. 319: scrag [...] a woman, especially one who is ugly, sleazy, tartish.
[Aus]L. Redhead Peepshow [ebook] Two weeks of dark roots, I look like some kind of scrag.
[Ire]L. McInerney Glorious Heresies 145: [She] stayed otherwise stupidly solid to watch the scrag advance.

2. (Aus.) an ill-kempt person.

[Aus]Coburg Leader (Vic.) 21 Sept. 4/2: He said he’d not ride second class, / With the other Coburg scrags.
[Aus]E. Dyson ‘The Rivals’ in Benno and Some of the Push 159: The lad what’s keepin’ co. with me ain’t got no use fer scrags.
[Aus] ‘Whisper All Aussie Dict.’ in Kings Cross Whisper (Sydney) xxxix 4/4: scrag: A grubby person.
[Aus]Aus. Word Map 🌐 scrag An unkempt person of meagre means.

3. (Aus./N.Z.) anything considered inferior.

[Aus]Sun. Times (Perth) 29 May 2nd sect. 10/4: He won a Welter purse at Canning Park, and a race or two amongst ‘scrags’ in the country districts.
[NZ]McGill Reed Dict. of N.Z. Sl. 180: scrag Anything inferior. [...] Derived from scragends, the poorest cuts of meat. Whaling term C19 for remnants, from British dialect word for useless leftovers. Possibly linked to ‘scrag’, neck. ANZ.

In compounds

scrag fight (n.)

(Aus.) a fight between two girls or women.

[Aus]L. Redhead Rubdown [ebook] ‘Suzy was pissed and punched me out.’ ‘Scrag fight? Dead sexy’.