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The website Canadian Genealogy Center states "Citizenship and Immigration Canada holds records of naturalization and citizenship from 1854. The originals of records dated between 1854 and 1917 have been destroyed. However, a nominal card index has survived, which provides information compiled at the time of naturalization, such as present and former place of residence, former nationality, occupation, date of certification, name and location of the responsible court. The index raely contains any other genealogical information.
"Records created after 1917 are more detailed, indicating the surname, given name, date and place of birth, entry into Canada, and in some cases, the names of spouses and children. The file will typically include the original petition for naturalization, a Royal Canadian Mounted Police report on the person, the oath of allegiance, and any other documents."
If we could see these papers on Anna Batke, we might glean more information on the Batke family.