You may want to look at the records that come out of the French Dauphiné as the family name PAVY is found there, and may have its origins in Pavia, Italy.
It just so happens that the Dauphiné was a refuge for Huguenots during the Religious Civil Wars that marked the 15 and 16th centuries.
The name RUMELES does not sound English either.

When searching for ancestors with names that have divers origins, it is necessary to carry out a phonetic analysis of the names.

Good Luck on your search in France.