RootsChat.Com

I have just come across this thread. There is considerable information on the Cascat Index of Cumbria Archive Service. This is the link
https://archiveweb.cumbria.gov.uk/calmview/
Just enter Englethwaite in the search box and 40 or so entries will come up.
It must also have catered for girls in the 1950's as a friend of mine's mother was at the house back then.

I think Gan Yam is right in suggesting that they went to the school at Kirkandrews Moat. It would only be a few hundred yards from Bruntonshill if they crossed Carwinley Burn by one of the many paved fords.
As quarrymen they would probably be employed in the extensive quarry at Low Moat as there would be a fair amount of dressed stone required for the Scotsdyke and Riddings stations as well as the viaduct for the Langholm branch and numerous road bridges. There was also a quarry at Laws Hall about a mile to the south of Bruntonshill.
You will find that most of the farms and houses provided accommodation for the railway workers. I did research on the neighbouring Nicholforest parish where the population went up from 749 in 1851 to 1216 in 1861. Some of the names concocted by the Irish navvies are unrepeatable here but can you imagine the atmosphere when an English enumerator went into a hut housing 20 rough and ready navvies and then said he want to know all their names, ages, where they were born and if they were married. Must have been really scary. There was a murder just up the road at Penton Bridge Inn in 1861 which shows how rough the workers were.
There are many more maps at maps.nls.uk The National Library of Scotland as per pm to you.

Re your initial post. They may have been quakers or other non-conformist religion. Kirkoswald had non-conformist chapels: i.e. Congregational (at Parkhead), Wesleyan plus three independent congregations. Quakers could meet at Sowerby or Penrith.

Crivens Skoosh, I didnae realise I was the product of a "mixed" marriage until you pointed it out. Please don't look for bias or prejudice where none exists or is intended.

Joking aside, I can tell 10ken that Tweddle is a name most commonly associated with the parish of Stapleton in North Cumberland. I have gone through the Stapleton marriages from 1740 to 1760 and cannot find a Nancy or Ann Tweddle/Tweedale/Tweedal. The only entry I have come across that is remotely close is:
4 May 1751. David Little and Mary Tweddle, married.

There were quite a lot of Kennedy's in Bewcastle Parish, neighbouring Stapleton, so that may be worthwhile looking at.