Ta for the replies all. I've counted 13 on the Cumbrian Coast, Carnforth Station Jn to Sellafield (not via Barrow), but quite a few more if we allow the ETB (?) sections between there and Whitehaven. Little Mill to Shrewsbury sounds like a winner on the original question though - presumably the Moreton to Hereford section is what breaks it on the Up?
Daisyfield is indeed between Hellifield and Blackburn - very close to the latter (in fact, I think his home signal is slotted by Preston PSB as it's also the protecting signal for the junction with the Burnley line?) and working AB to Horrocksford Jn.