Ok, Jim. Dogs are under control now. I've calmed down and got back to my more usual frame of mind here.
First off, I've tided up DNA's rather gushing, and thus distracting, inital in put. Then I've worked it over with what else we have thus far. See what ye think of this:
William Purkis X Wilahmina Taverna = Constance Purkis @ 1882.
Constance, brought up by a stranger, later claims " Edward x " as Father.
Hypothesis; " Wilahmina " is Mellona W, born 1866. She marries Edward Hall, 1891, her age then being 25. Drops dead in 1899, age 33.
Could Mellona have first married Bill Purkis and had Constance in 1882? Answer; Yes. She'd have been sixteen years old.
Then what happens? Mellona and Bill Purkis split up? He dies? (Have we a dead Bill, 1882 - 1891?) Either way, the marriage appears ended by 1891. Equally 'either way', we have the potential of Constance, nine years old, having an Edward as Father figure.
Maybe Constance never got to know Bill Purkis at all? Maybe that was a shotgun wedding and he vanished, leaving young Mellona to drop off her kid with an aunt (Ann Rintoul) and, on marrying herself, gave, as Father, the name of the only man she ever knew in that role.
What ye reckon?