Green’s Dictionary of Slang

roby douglas n.

also roby douglass
[‘with one eye and a stinking breath’ (Grose 1785); presumably f. a real person]

the posterior, the buttocks.

[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Douglas, Roby Douglas, with one eye and a stinking breath, the breech.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[US]Maledicta IV:2 (Winter) 198: If he is not particular as to whether he gets her ’twixt wind and water, he may prefer […] to get stuck into her Rory [sic] Douglas — that part which has one eye and a stinking breath.
[UK]R. Puxley Fresh Rabbit 94: An ancient expression for that part of the anatomy [...] is Roby Douglass.