As an ex-NHS employee I regret to say this doesn't only happen in Cumbria.
Recent examples in this household; an offer of a scan in Banbury at 10:00 on Sunday morning, virtually undoable from Reading by public transport, 09:00 appointment in Bracknell would be nicer if they allowed for the older persons bus pass.
The irony is that we live opposite the Royal Berkshire Hospital in Reading.
I am getting very used to public transport to hospital challenges ... Try 08:30 at the Great Western Hospital in Swindon from home in Melksham (phone chat got me 09:10 - home at 06:50, walk to station, 07:21 train to Swindon, walk to Fleming Way, bus to
GW» Hospital - arrival in good time.
RUH▸ in Bath isn't bad - 2 buses with a change at Bath bus station - still 90 minutes, and not possible until November because of roadworks; it will involve a walk across the city centre of Bath. In contrast, I have a catheter change when I get home later this week - one of the very few things (it seems) that can still be done at Melksham Hospital - five minute walk and (fun) this very personal thing likely to be done by someone I might know in the community!
I must add - though - that the treatment I have had from the NHS since they identified a significant issue that urgently needed attention in late March has been exemplary.