I'm looking for the marriage so I can confirm her father and that she is the Jane Stockdale I've been looking for. My Jane had those parents you've mentioned.
In 1861 I have them in High Barton, Westmoreland with children William (7), John (5) and Sarah Jane (2 months).
I have Jane as a servant in Hutton Soil, Penruddock, Cumberland in the 1851 census. I don't have Joseph but someone I have been chatting to who is researching Joseph's mother's line thinks he was raised by a relative. Their tree is private so I can't check on what they have. It hadn't really looked at where he was prior to 1861.