Green’s Dictionary of Slang

(Irish) a person, an acquaintance.

1940s–50s		‘Flann O’Brien’ ‘Bad Humour’ in Hair of the Dogma (1989) 95: That class of talk was excitin’ ME, crippled with corns all me life and mister-me-friend this doc standing there as bould as brazen brass tellin’ me I can spend sixteen hours a day behind this counter.
1946		‘Myles na gCopaleen’ Drink and Time in Dublin in Irish Writing No. 1 May 74: I’m nearly too weak to walk and the shakes getting worse every day [...] Lookat here, mister-me-man, I say to meself, this’ll have to stop .