Chris, you Hamel-373 is a descendant of the ones we're looking at. Let him not intrude in the conversation :D. He's full Quebecois anyway, and I can't help there.
Charles (your ancestor) born c. 1625 was the son of François Hamel and an unidentified mother who died sometime before 1647. In 1647 Charles marries Judith Auvray while his father marries Judith's mother, Marie Lozier. Judith must have been quite young as her mother went on to have several children with François Hamel.
We know that Judith died in 1654 (and we have the record), and that her husband, Charles, remarried in Dieppe before moving to Canada with his new wife, his son from his 1st marriage (Jean) and perhaps other young children.
Which means Charles's mother cannot be Anne. Anne was still alive when Charles's father married Marie Lozier in 1647 ! I'll have a look and confirm Anne's family name. IMO they are just another set of Hamels who happened to live in the same village. They were probably related somehow, cousins of some sort - we'll never know, there are no surviving records - but they were NOT ancestors of the emigrants to New France.