Resting places in the county (4)
I believe the answer is:
beds
This clue is a double definition.
'resting places' is the first definition.
(I've seen this in another clue)
'the county' is the second definition.
(abbreviation for Bedfordshire)
'in' acts as a link.
(Other definitions for beds that I've seen before include "Graduate teacher's" , "Small English county" , "area that includes Luton" , "wards have them" , "furniture items?" .)