Green’s Dictionary of Slang

eyeballer n.

[eyeball v.]

(US) a know-it-all, esp. one who takes it upon him- or herself to tell others what to do.

[US] in J.M. Hunter Trail Drivers of Texas (1963) I 333: An ‘eye-baller’ is a person who pokes himself into other people’s business.
[US]R.F. Adams Cowboy Lingo 199: People who were looked upon as meddlers [...] were called ‘wedgers-in,’ ‘Paul Prys’ or ‘eye-ballers’.
[US]Indep. Record (Helena, MT) 9 Oct. 3/7: An ‘eyeballer’ (a gossiping busybody).