I can't see how the family ended up on Prince Edward Island on their way from Ontario to the United States, and can't find any indication that Jane was born there - if she was born in Canada, more likely to have been born in Prince County, Ontario.
Sources
Source: S33 Abbreviation: The Barnum Family, 1350-1907 Title: Barnum, Noah G, The Barnum Family, 1350-1907 (Albion, NY: Privately Printed, 1907) Subsequent Source Citation Format: Barnum, Noah G, The Barnum Family, 1350-1907 BIBL Barnum, Noah G. The Barnum Family, 1350-1907. Albion, NY: Privately Printed, 1907. TMPLT TID 0 FIELD Name: Footnote VALUE Barnum, Noah G, The Barnum Family, 1350-1907 (Albion, NY: Privately Printed, 1907) FIELD Name: ShortFootnote VALUE Barnum, Noah G, The Barnum Family, 1350-1907 FIELD Name: Bibliography VALUE Barnum, Noah G. The Barnum Family, 1350-1907. Albion, NY: Privately Printed, 1907. TMPLT FIELD Name: Page
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DNA Connections
It may be possible to confirm family relationships with Jane by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Jane: