Green’s Dictionary of Slang

bumpsie adj.

also bumsie
[? liable to ‘bump’ into people or to fall over with a ‘bump’]

drunk.

Tarleton’s Jests in Halliwell (1844) 8: [...] Tarlton, being a carousing, drunk so long to the watermen, that one of them was bumpsie [...] .
[UK]J. Taylor ‘Epigrams’ in Works (1869) II 264: Strait staggers by a Porter or a Carman, / As bumsie as a fox’d flapdragon German.