Not sure I want to go down the DNA route, but thank you for the suggestions!
What strikes me as most odd is the lack of shame about this. She is listed as single on the Censuses. No father on birth certificates or marriage certificates. Living with her widowed mother on the farm and having more or less a baby a year at some points!
The only logical explanation is that the father of her many children was married as suggested by pp. But I don’t know who it could have been! There’s no way she could have hidden that she was having this many children so it must have been fairly common knowledge about what was going on in her village, I would have thought. The father must have lived nearby as it was a fairly remote village and he seems to have been around to get her pregnant on a very regular basis.
Working in the hotel came much later after her mother had died (but they still lived on the farm). No idea what hotel or how she got to work.
There were a fair number of other unmarried mothers in the area at the time. However, everyone else seems to have had a child or two and then married the father. Apart from the lady I am interested in who never married.
I don’t want to disclose her name or too many location details I’m afraid as her descendants are living (I think all her children have now died, but she has living grandchildren).
One of her children has written a bit about their early life. They seemed to live on a kind of small holding farm with a few animals and the children all went to school to at least 7 as far as I can tell and some still at 12.