Sorry, I'm getting confused. I hate to ask, but was it 1825, or 1834 per your initial query ? Don't worry, I used to give far too much information and get in a dreadful muddle when I first joined !

Looking for the parents of Thomas Willis in this area (b. 1834 if I remember correctly!).
Thomas was born in 1825 in Barnard Castle, sometimes described as Romaldkirk.
There's this baptism in Barnard Castle :
Thomas Willis, 11th. August 1824
Parents : Joseph and Anne Willis
Barnard Castle
Kindest regards,
Pels.