The current Cumbrian coast line timetable is here – there are two versions with the new one starting on 21 May although there are hardly any changes.
The timetable with full Furness line services including times for through trains to Manchester (Oxford Road, Piccadilly and Airport) is available here and in stations.
The following services are usually operated by locomotive hauled trains (labelled with a L in the timetable):
From Carlisle Mondays to Fridays 0515 0842 1435 1737 Saturdays 0515 0842 1156 1433
From Preston Mondays to Fridays 1004
From Barrow Mondays to Fridays 0546 1140 1437 1731 Saturdays 0546 0845 1138 1732
Ravenglass and Eskdale railway (La’al Ratty) (also on the coast line timetable)
Northern Rail timetables (Tyne Valley line to Newcastle, Settle and Carlisle line to Leeds, Bentham line to Leeds and Morecambe, Furness line to Lancaster and Manchester Airport, Lakes line Oxenholme to Windermere)
Virgin Trains West Coast to London, Birmingham, Glasgow and Edinburgh
TransPennine Express to Manchester Airport, Glasgow and Edinburgh
ScotRail for trains to Dumfries and Glasgow
Caledonian Sleeper to London, Glasgow and Edinburgh