The name was then transferred to a county constituency electing one MP from 1885 until 1918. Notable MPs have included the regicide, Francis Allen.
Until the Great Reform Act 1832, the constituency consisted solely of the market town of Cockermouth in Cumberland.
The Reform Act 1832 expanded the boundaries to bring in the neighbouring parishes of Eaglesfield, Brigham, Papcastle and Bridekirk, and part of Dovenby, increasing the population to 6,022 and encompassing 1,325 houses.
However, in the next wave of reform, introduced at the 1868 general election, one of Cockermouth's two seats was withdrawn, and in 1885 the borough was abolished altogether, although the name was transferred to the surrounding county constituency.
There was a significant Irish vote, and the Conservative victory in 1885 and subsequent Liberal gain of the seat in 1886 have been attributed to Parnell's shift of support from the one party to the other.