I was at Cockermouth Yha, couple of year ago and I self-catered. According to yha web-site, there do meals. I would email the hostel on
cockermouth@yha.org.uk
Cockermouth is a fairly big town, I think there will be plenty of cafes and Fish & Chip Shops. I did my shopping in Aldi, just up the road from hostel and cheap too.
This list is off the C2C web-site.
eating places
Alfies Cafe - 1 Old King’s Arms Lane, Cockermouth tel: 01900 822256
At the end of Old King’s Arms lane and makes an ideal place for cyclists to leave their bikes if they want a hot drink or a snack.
Quince and Medlar - 13, Castlegate, Cockermouth Tel: 01900 823579
A licensed, non-smoking vegetarian restaurant. Twice winner of The Vegetarian Restaurant of the Year and comes highly recommended.
The Squirell's Pantry - Lamplugh Road, Cockermouth tel:01900-822180 A short diversion from the route takes you to this Victorian Tea Rooms where you can get a bite to eat, refill your water bottles and watch Red Squirrels at play. Recommended by J. Hughes