Horsfield (or Osfield or Orsfield (!) was baptised on 4 August 1872, the BMD for his birth states Registration Quarter June, July & August, so could have been end July or very beginning of August. His father was Luke and his mother Mary.
His son Frank was baptised on 24 October 1900 and the BMD states October.
When his father "jumped ship" so to speak my grandfather was with them at the station and Frank threatened his father that if it wasn't for the fact that he WAS his father he would "kick him up and down the platform", that doesn't sound like someone who would do the same thing with his own wife (at least not then, so I think when he did leave her it was sometime later).
My brother (still living) used to visit the family home of Frank and Rosie and remembered young Frank being a teenager, but he never mentioned the father being there so I assume he had gone by then leaving Rosie to bring Frank up alone with the help of my grandfather and family.
As for Horsfield, I know this to be fact, his wife was always going into businesses, chip shops etc and moving house and he got fed up with it all. But, where did he get to, very intriguing.
I am 99% certain that there was no divorce with Horsfield and his wife, so one divorced in the family at that time and if they had it would have been known.