I'm guessing that your family are from the Audley area?
Yes miners around Silverdale and farmers.
My family on my dad’s side are all from that general area (I was born in Silverdale) and nearly all worked in the local pits. A few years back I would have just asked my dad & Uncle Roy what they knew of your family. They were fonts of knowledge when it came to local mines & families but they’re not there to ask anymore.
Staffordshirechina who posted a lot on Aditnow & occasionally posts here, would be a good person for you to talk to. He managed some of the local footralls (small mines) & his family were involved in local mining for a long time.
Given the duel mining/farming interests it’s more than likely that your family had one or more footralls on their land. On the west side of the coalfield, the two went hand in hand. I had a quick look in the only footrall listing I have (for 1955) & couldn’t see the name Durber as owners but it is quite late.
Incidentally Brayford, one of the names in you OP clipping, was a very prominent name in local footralls & operated quite a few in the local area.
Finally, IIRC a Dr Durber was a GP in Talke Pits in the early 60’s