Your original message filled in gaps in what our family has about the Carveths. I show several Priscilla's. My grandmother's father was the William Carveth born in St. Agnes in 1861. His mother's name was Priscilla, as was his sister. And he had a daughter named Priscilla, everyone called her Perc (pronounced purse). My grandmother was Francis, b. 1903. She and Perc used to get together and have "grand times" in the summer. Criminy! (or is that word familiar to you)
So I'd say we are from the same family. Which Priscilla was your Great Grandmother?
My information says that William (b.1861), brothers John and Henry emigrated to Butte, Montana, 1880's I think. Charles emigrated to Grass Valley CA. All were miners.