It might be worth looking on Carlisle Archives Centre records for Wills (CASCAT).
From the earlier Wills - there are the following - so it looks as though they were around Bromfield in the 17th c:
John Bromfield (Langrigg) 1678 WI (Will, Inventory)
John Yeo, Bromfield (Langrigg) 1746 WI 35 [163r]
Richard, Bromfield [Langrigg] 1668 W [189]
Lots of other earlier Wills at various places in Cumberland - Crosthwaite, Bassenthwaite, Appleby Wes.
Worth a look to see if there are later Wills - especially for the above Richard
Edit: Just looked - the following Wills (I would think from your family)
PROB/1787/W380 John Dover of Longrigg, Bromfield
PROB/180/W110 Richard Dover, Yeo, Bromfield
PROB/1803/W406 Will Richard Dover, Bromfield, Yeo