Dana,
Here in Scotland the name is spelt Fraser, or (occasionally) Frazer, but never Frazier.
Lord Lovat did have a son in 1736 (Christened 7th August), but his name was Archibald Campbell Fraser. There is no mention of a twin I'm afraid.
This birth (and that of a brother Alexander in 1729) was in the parish of Kiltarlity, Inverness-shire. Their mothers name was Janet Grant.
Where did you obtain your information that George T Frazier was the son of Simon, Lord Lovat ?
Don