Paternal relationship is confirmed by a triangulated group on MyHeritageDNA who share a 7.3 cM segment on chromosome 20, consisting of Jacqueline Hoflin and Samantha (Jarvis) Robinson, her 3rd cousin 1x removed, and Desmond Winters, her 3rd cousin 1x removed. (Samantha and Desmond Winters are 3rd cousins.) These matches have been independently verified by via the MyHeritage Chromosome Browser. Their most-recent common ancestors are Thomas Apperley and Sarah White, the 2x great grandparents of Jacqueline Hoflin and 3x great grandparents of both Samantha (Jarvis) Robinson and Desmond Winters.
Sources
"Canada Census, 1916," database, FamilySearch (https://familysearch.org/pal:/MM9.1.1/KMPR-TSS : accessed 22 September 2015), Irene Apperly in household of Adrain Apperly, Saskatchewan, Canada; citing p. 11, line 14; Library and Archives Canada, Ottawa, Ontario; FHL microfilm 2,434,957.
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DNA Connections
It may be possible to confirm family relationships with Irene 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 Irene: