McGrath"Tory" is indeed an interesting one. I think you need to go a further step back in the derivation - almost certainly to the Gaelic (Irish) word "tóir" - hunt.
Regards
p.s. I still think your analysis of "Brit" is disingenuous at best - much as I despise the "little Englander" syndrome you disguise (there's an irony in that term, also/)