Barton on Humber - Grimsby Town
Grimsby Town - Lincoln Central
Lincoln Central - Nottingham
Nottingham - Cardiff Central
Cardiff Central - Cardiff Queen Street
Cardiff Queen Street - Cardiff Bay
Or Barton - Grimsby Town - Lincoln Central - Nottingham - Birmingham New Street - Smethwick Galton Bridge - Stourbridge Junction - Stourbridge Town
Barton to Cardiff Central can be done with changes at just Grimsby and Manchester Piccadilly.