u/Automatic-Ring-6764

I’m trying to locate the birth/baptism record of my ancestor Jeanne d’Arc Côté, believed to have been born 30 September 1920 in Québec (According to her US Records).
Later U.S. records give her birthplace as Montreal, Canada, but I have not been able to locate a Québec birth or baptism record for her.
Her parents were:
Father: Alcide Côté (also appears with additional given names, including Alcide/Léandre)
Mother: Aline Marc-Aurèle (also Marie/Vitaline/Aline Marc-Aurèle)
What I have confirmed:
• Her parents married 10 September 1919 at St-Édouard, Eastman, Québec.
• Their son Joseph Jean Paul Marcel Côté was born/baptized in November 1921 at Ste-Geneviève-de-Berthier, Berthierville, Québec, with Alcide Côté and Aline Marc-Aurèle named as his parents.
• The family entered the United States in 1923. Their immigration/border record gives Berthierville, Québec as their last permanent residence, while Jeanne’s birthplace is given as Montreal.
• I have searched the 1920 St-Édouard (Eastman) register and the 1920 Ste-Geneviève-de-Berthier (Berthierville) register without finding Jeanne.
• I have also tried locating the family in the 1921 Canadian Census without success.
I have searched for variations including Jeanne, Jeanne d’Arc, Marie Jeanne, Marie Jeanne d’Arc, Côté/Cote, and variations of her parents’ names.
I’m trying to determine where Alcide and Aline were living between their September 1919 marriage in Eastman and their son’s November 1921 birth in Berthierville.

Any ideas on next steps? Thank you!