Northern operated a through train from Buxton to Barrow in Furness
There was also a 0501 Barrow to Buxton in the other direction.
Others I remember from that area/era.
0757 Clitheroe to Morecambe
0828 Lime St-Morecambe.
A Northwich to Blackpool Nth
A St Anne’s on Sea to Greenbank.
A 0717 Barrow-Lime St.
A Lime St to Millom arriving c1900
A Manchester Airport to Millom arriving c2130.
1642 Sellafield to Manchester Airport
A Sunderland (later Newcastle) to Whitehaven.
0637 Millom to Manchester Airport
There was also later a 0600ish Millom to Manchester Airport but not advertised as such. It was a Millom-Barrow, Barrow-Airport but you could stay on the same unit which was a 185.
In the 90s when 156s were new I think they were based at Crown Point. I’m sure there was a Millom-Cambridge/Norwich in similar fashion. You could stay on it but it technically changed a few times en route.
In the 90s there was a Sunderland-Barrow and vice versa with 143s.