Green’s Dictionary of Slang

mighty adj.

SE in slang uses

In compounds

In phrases

mighty-come-a-tooting (also mighty come-a-right, mighty-come-a-shouting, mighty-come-a-whistling, mighty shouting, mighty whistling)

(US) quite right; usu. preceded by you’re...

[US]DN 3.88: Mighty (come-a)shoutin’, mighty whistling. . . Right. ‘You’re mighty (come a-)shoutin’. ‘You’re mighty whistlin’.’ [DARE].
J.H. Street In Father’s House 171: ‘Did you see any good trucks?’ ‘You mighty come a’right. I picked out one and made a down payment.’ [DARE].
in Thompson Collection.