Then again - there wasn't as much to non-conform against that far back!!
Puritans still used, and preached in, the main C of E churches as far as I know. It could be a dangerous game though and if a preacher's flock didn't like what they said they could be chased out of their parish or even killed...
Is it possible for you to compare the prevalence of those names in that parish with other neighbouring parishes at the time?
I don't know. That would be interesting though. I can say that that set of names is not used in my other ancestral lines in Kent, Sussex, Surrey, Bucks, Berks, Oxon, Herts, etc.
Perhaps a way to do it would be to choose some typical Gloucs names and do quick searches on the IGI to see how much these families used the names? I know very little about Gloucs; can anyone suggest some "old" and plentiful Gloucs surnames??