As part of research into two Jessop/Jessup family members, I ended up trying to sort all of the matching entries in the NSW BDM records between about 1830 and 1910. I hope this is useful for someone.
Sources
NSW BDM Birth# 7550/1859
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DNA Connections
It may be possible to confirm family relationships with Florence 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 Florence: