Did the daylighters record with domino record label in Austin tex?

Yes.

DOMINO R-904 THE DAYLIGHTERS I'll Never Let You Go / Something Is Wrong

(recorded in Austin, TX, 1961, feat. Clarence Smith:vcl/gtr, Mack Moore:keys, Willie Cephas:gtr, George Underwood:bs, Iry Littlefield Jr:dms; both sides written by Clarence Smith aka Sonny Rhodes) 1961

They also backed singer Joyce Harris on the same label.