There are, indeed, a lot of Norborne name variations in the north Derbyshire area - and I've looked at several of the wills - but unfortunately none of them have thrown any real light on my Jane's parants.
I was quite excited in 2017 when I visited the Sheffield Archives and came across a transcript of notes from an old Bible in the possession of the late Joseph Allcroft of Netherthorpe (right next to Staveley) which bears the date 1630. It appears to have started off life as a Norborne family Bible - with the first entry apparently being a Godfrey Norburne, who married a Jane (surname unknown) on May 17th 1643. It looks as though Godfrey and Jane had several children: William, Elizabeth, Mary, Godfrey and Richard - all born/baptised in the period 1646 to 1659 (dates recorded in the Bible but I can't find them on any of the main Genealogy sites).
Particularly interesting was the reference to a Jane Norborne, daughter of William Norborne, who was born January 17th and baptized January 25th 1672. However, the transcript goes on to say (although not quite definitively!), that this Jane Norborne married a gentleman surnamed Allcroft (possibly John Allcroft) - and subsequently died in 1746 aged 74 years. The transcript also speculates that the Bible came into possession of the Allcroft family through this marriage.
So, although I had tracked down a Jane Norborne - who could have been the wife of my Joseph Wildsmith (albeit possibly a little old) - it appears she married someone else and lived until 1746. So, another brick wall!
Apologies for this bit of rambling on my part!
I'm still all ears, if anyone can suggest any different lines of research on this Joseph Wildsmith/Jane Norborne quest.