It seems there was only one Ryder/Rider family in the Pateley Bridge area in the 1780s. Since Thomas Ryder gave this as his place of birth in both the 1851 and 1861 censuses, it seems likely that this is family. And indeed this family does have a son, Thomas, baptised in 1784. The following details were taken from the Yorkshire parish records collection on Findmypast:
- Thomas Ryder married Elizabeth Paley 1 June 1779 at the Chapelry of Horsehouse, Parish of Coverham (winesses James Dixon and Roger Paley)
Their children were (also from Findmypast):
- Nanny Rider, daughter of Thomas and Elizabeth, buried 26 Sep 1781, Pateley Bridge
- Roger Rider, son of Thomas of Hollin Hill, baptised 5 May 1782, Middlesmoor
- Thomas Rider, son of Thomas of Hollin Hill, baptised 9 Feb 1784, Middlesmoor
- Dinah Ryder, daughter of Thomas and Elizabeth of Hayshaw, baptised 30 June 1785, Pateley Bridge
- Elizabeth Ryder, daughter of Thomas and Elizabeth of Hayshaw, baptised 22 Sep 1786, Pateley Bridge
- John Ryder, son of Thomas and Elizabeth of Hayshaw, baptised 8 Mar 1790, Pateley Bridge
Note that Hollin Hill is about 2 miles from Pateley Bridge, which would have been the nearest village, so the baptism for this Thomas in 1784 is consistent with the information in the 1851 and 1861 censuses:
Returning to Thomas Ryder/Rider and Elizabeth Paley, these look like their burial records:
- Thomas Rider of Hayshaw, aged 78, buried 12 Apr 1831, Hampsthwaite
- Elizabeth Rider of Hayshaw, aged 70, buried 29 Dec 1814, Chapelry of Thornthwaite, Parish of Hampsthwaite
Based on these ages at burial, here are possible baptisms of Thomas and Elizabeth:
- Thomas Ryder, son of Stephen and Hannah of Bracken Rigg, baptised 1753 [exact date illegible], Coverham
- Elizabeth Paley, daughter of Roger of Westhouse, baptised 11 January 1745/6, Middlesmoor