Green’s Dictionary of Slang

1. a paltry, insignificant, contemptible person [snotty adj. (1)].

[1604		Dekker Honest Whore Pt 1 II i: Ile choake him then, hang him Mole-catcher, its the dreamingst snotty-nose].
1614		Jonson Bartholomew Fair II v: Let’s away; her language grows greasier than her pigs. ursla: Does’t so, snotty-nose?
1733		C. Coffey Boarding-School 19: Ay, tell, tell, snotty Nose, what care I?
1846		Bell’s Life in Sydney 28 Nov. 2/3: I saw dat voman von nicht; she call young man von snotty nose.

2. an arrogant, snobbish person [snotty adj. (3)].

1838		R. Nicholson Cockney Adventures 27 Jan. 103: He heard distinctly Sam Wilkins call the strong man ‘Snotty nose’.
1935		G. Ingram Cockney Cavalcade 226: Pipe down, Snotty Nose!
1987		B. Chatwin Songlines 83: Who asked him to poke his upper-snotty-class nose in here?

3. a dirty, grubby person [SE snot].

1956

T. Ronan Moleskin Midas 29: Tell him to come round with this other snotty-nose.