Élisabeth and Isabelle were pretty much interchangeable names in this time period, one being nickname to the other indiscriminately.
Listed as one of the "Filles du Roi," the King's Daughters, a group of over 800 young women who were sent to New France with the idea of complementing the overwhelmingly male population and propagating the population:
For more on the "Filles du Roi," see "The Girls of LaRochelle" in A Complete History of Our Ancestors in New France  The bitter facts of their abduction where they were taken by force and brought to a convent (because they were Huguenots) and "converted," and then shipped to New France are told here. There are profiles of individual women, including Marie Faucon. It says the following:
"Élisabeth or Isabelle Doucinet was baptized 19 May 1647 at the Calvinist Temple of La Rochelle. She was the daughter of Peter Doucinet and Florence Cantau and sister of Marguerite Doucinet.
"Isabelle Doucinet arrived in Quebec as a "Daughter of King," August 11, 1666, at the age of 19 with 200 pounds for a dowry. She was preceded to the country by her sister, Marguerite, who arrived in 1662. She married at the Calvinist Temple of La Rochelle to a carpenter named Jacques BÉDARD (1644-1711), son of Isaac and Marie Girard BÉDARD. This couple had 17 children.
"In 1671, Elizabeth Doucinet testified to Provost Court of Quebec about a history of witchcraft. She stated that she "heard tell" by Jacques Cassian, son Perette Ozilionne, that both parents of Perrine Moreau were sorcerers and sometimes put fire in clogs and the clogs behaved as if there were explosive powder [in them]and blew up into many pieces." She added that Coirier Perrine told her she was asked by a woman to bring a new pot and some needles, for the love of god. This woman believed that Perrine Moreau killed her husband. " [--from Langlois, Michel, Biographical Dictionary of Quebec ancestors]
For more on the subject of witchcraft in New France, see Witchcraft in New France in the 17th Century . This book explains that, even though France ended their persecution of witches in 1640 and imposed the cessation on the entire kingdom in 1682, the vast majority of Frenchmen still believed in magic and witchcraft.
In The Montreal Gazette, Bill Bantey tells us, however, that no one in New France was ever put to death, and this record was unique in Christiandom.  Les habitants were probably too busy worrying about their own survival. In addition, when the Jesuits spoke of such things, they spoke of them, not with awe but derision, never giving much credibility to their "pranks" as, say, the prelates in Salem did. 
"Isabelle Doucinet died November 19, 1710, at the age of 63 years, Charlesbourg."
DOUCINET, Elisabeth Poitou Charentes
Arrivée à Québec/arrived in Quebec city Le/on 11 Aug 1666 sur le vaisseau/on the ship Le St Jean-Baptiste de/from Dieppe
( Précédée au pays par sa sœur Marguerite, arrivée en 1662. Elle signe un contrat de mariage en date du 04/12/1662 avec Philippe Mathou dit Labrie, mariage le 28/12/1662 alors âgée de 21ans et demi.)
Fils d’Isaac et Marie Girard; né le 15/12/1644, décédé le 10/07/1711.
The Society of King's Daughters on 
"The Girls of LaRochelle" in A Complete History of Our Ancestors in New France , which itself has source notes.
Bantey, Bill. The Montreal Gazette, "New France's Unique Record on Witchcraft." (25 Jan. 1969).
Witchcraft in Early North America by Alison Games 
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