Yes, very helpful. On the link to the 'GB Rail Rover Guide', provided by 'LPJOHN' (post #19, above), the list of stations at which the Lancashire Day Ranger is valid includes Liverpool Central and James Street, but on the equivalent 'National Rail' page, it does not.
Special offer: Lancashire Day Ranger. The portal into UK rail travel, including information on ticket purchase and promotions, train times and delays, and more.
www.nationalrail.co.uk
It's certainly my recollection that the Lancashire Day Ranger was valid all the way around the 'loop', i.e. James Street > Moorfields > Lime Street > Central > James Street, and also on the direct line Central > Moorfields. Perhaps the validity has been changed, and that is certainly the implication, so that would mean that the information provided by 'Mcr Warrior' (post #2) and '30907' (post #5) is now incorrect. The map uploaded by 'Merseysider' (post #21) is undated.
If the above is indeed correct, there is an anomaly in that Moorfields to Lime Street is presumably permissible, but Lime Street to Moorfields is not.