Green’s Dictionary of Slang

donkey dick n.1

[note late 18C–mid-19C donkey (? f. proper name Duncan) itself was orig. sl.]

an ass.

[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Donkey, donkey dick. A he, or jack ass: called donkey, perhaps, from the Spanish or don-like gravity of that animal.
[UK]G. Andrewes Dict. Sl. and Cant.
[UK]Lex. Balatronicum.