Green’s Dictionary of Slang

lolly n.1

[SE loll; orig. boxing use]

the head [20C use is Aus. and usu. in phr. below].

[UK]‘An Amateur’ Real Life in London I 187: The dancing party was knock’d up, and were lobbing their lollys, half asleep and half awake, on the table, bowing as it were to the magnanimous influence of Old Tom.
[UK]Hotten Dict. of Modern Sl. etc.
[UK]Hotten Sl. Dict.
[US]Times-Democrat (New Orleans, LA) 9 July 3/6: Prize Ring Slang [...] ‘Brain canister’, ‘lob,’ ‘nob,’ ‘lolly,’ the head.

In phrases

do the/one’s lolly (v.)

(Aus.) to lose one’s temper, to lose control of one’s emotions or senses.

[Aus] Truth (Sydney) 15 Jan. 21/2: Punters were inclined to do their ‘lolly’ at Alan Burton [AND].
[UK]C. Rohan Delinquents 132: Don’t start talking to me as though you were a plain-clothes cop [...] or I’m liable to do the lolly.
[Aus]W. Dick Bunch of Ratbags 71: Orright, orright, I’m only mucking around [...] You don’t have to do your lolly.
[Aus]F.J. Hardy Outcasts of Foolgarah (1975) 122: A strong debator even if prone to do the lolly on the Red issue.
[NZ]McGill Dict. of Kiwi Sl. 70/1: do one’s lolly lose one’s temper.
Teenage Mutant Ninja Turtles official website 🌐 He heard all about the Turtles havin’ to do the lolly to make sure the city stays fair dinkum from the Foot Clan.
[Aus]Penguin Bk of Aus. Jokes 305: Bruce then does his lolly and demands his £100.
[NZ]McGill Reed Dict. of N.Z. Sl. [as cit. 1988].