I only have the 1 Pidcock's example at the moment, this one's a farthing, with an elephant and cockatoo. Undated but late 1790s, as Will says
The other animals in the Pidcock's farthing token series are catalogued in Dalton & Hamer as lion, two-headed cow, pelican, beaver and wanderow (a type of monkey)
The Pidcock's halfpenny token series also depict zebra, crane, tiger, rhino, eagle, nylghau (a type of Indian antelope), kangaroo, toucan and ostrich - I can only imagine that all these creatures were on view at the exhibition!
There is evidence that Claudius had a 'war' elephant in England in Roman times, and that Henry III had a menagerie in the Tower of London, which included an elephant given by Louis IX of France in 1255.
I continue to find these 'Conder' tokens fascinating pieces of our history!