Laura married John Balkwell Sept qtr 1889, had another daughter Beatrice 1890, both girls with grandfather John Jury in 1901,suggest that John Balkwell was also father of Florence.Do you have the marriage cert for Florence? if it says her fathers name was John, and perhaps same occupation as John Balkwell,? might add weight to the theory. Quite rare to have a blank in that column.
No bastardy orders on National archives site.
Hope that helps.