Green’s Dictionary of Slang

(UK Und.) to hand (something) over.

1858		Bell’s Life in Sydney 21 Aug. 3/3: She would refund it [i.e. money] or, to use her own elegant diction, ‘turn it up’ in the morning.
1865		Leaves from Diary of Celebrated Burglar 7/1: Ne’er a bugger leaves this ‘drum’ before I get my bloody ‘sugar’ and whoever has got it had better ‘turn it up.’.
1883		Nat. Police Gaz. (NY) 10 Nov. 6/2: ‘If old Dutchy’s turned up any shug and you’ve collared the whole boodle by yourself, the sooner you skips [...] the better’.
1891		F.W. Carew Autobiog. of a Gipsey 414: He ’cused me o’ playin’ Ananias and Sapphira – pinchin’ the reg’lars as we call it and swore as he’d get me put away if I didn’t turn up more.