Green’s Dictionary of Slang

bab n.¹

a cook.

1919		Aussie (France) 11 Feb. 5/2: Generally, the Officer is so impressed by the Bab’s volubility and the excellence of his feeding arrangements, that he is glad to break away with a few complimentary remarks on his interest in the lad’s welfare.
1919		Aussie (France) 12 Mar. i: The Annoyed Digger: Cripes, — Call that stew? The Ditto Bab: Garn! you wouldn’t growl at that grub in civvie life.
1945		Baker Aus. Lang. 79: Outback cooks have been known by many names [...] bab, babbler, babbler’s offsider, babblins, baitlayer, doctor, blacksmith, poisoner and crippen.