http://telusplanet.net/dgarneau/french19.htm

French History – New France 1664- 1667, Quebec Culture

At this time the colonists rarely bathe, believing a bath would cause colic, headaches and vertigo. This European tradition usually resulted in a May bath with June weddings before they started to smell too bad. The brides carried a bouquet of flowers to hid the body odor. Both male and female wore sachets of dried flowers for the same purpose. The natives bathed fairly often and couldn't understand this strange practice of the French. Some said you could smell an European before you could see him. The savages had another custom to washing themselves before a meal, with the notion that, if they failed to do so, they would transgress rules absolutely necessary for obtaining success in hunting.

The French court was told most of the Quebec population were mainly unmarried males, many of whom interbred freely with the savages, wasting their seed among the pagans, instead of increasing the strength of the colony. Most of these Metis offspring are absorbed into the Indian population and are not recorded in the French records. This situation led to the filles du roi program of sending orphan girls, daughters of debtors, streetwalkers and runaway wives to New France. Only fifteen out of the first 150 could not find husbands and ended up in domestic service.

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One of those “unmarried males” “wasting their seed among the pagans” and whose “Metis offspring” were “absorbed into the Indian population” was French-Canadian Jean Bernard dit Anse, who (based on an early/mid 1600’s birth) would have been one of my 9 grandfather.
(He would later (in 1666) marry Marie Debure, b-1644, who arrived in 1665 as part of the “filles du roi program.”)

1860 US Census for Centerville, Leelanau, Michigan.

Father: Pontiac Ance (age 34) Great-great-great grandfather
Mother: Sheobonoqua (age 31) Great-great-great grandmother
Children:
(F) Catherine Ance (age 14)
(F) Sophia Ance (age 12) ** Great-great grandmother
(M) Tonian Ance (age 10)

ANCE or ANSE or ENS is from a "French-Canadian" ancestor Jean BERNARD dit HANSE who was really from Germany and was known as Hans BERNARD.