I don't think the Liverpool schools are giving you the right advice either. Try this thread and look for the post by WP who sets it out really well
So say you go for 1. Alty Girls in Trafford LEA, 2. Liverpool School 1, 3 Liverpool 2 and 4, local banker school in Warrington LEA, then each of the 4 schools get your details (but no ranking) and each notifies Warrington of its decision based on everyone who has applied to them.
Warrington then picks the highest ranked school on your list that will give you an offer and gives you that offer.
Since your situation is unusual (ie 3 LEAs) why don't you talk to one of the LEA officers listed in the CAF booklet for Warrington just to get their view. I think there is a lot of bad info being bandied around this year because the system has changed and not a loot of people seem to know (including, worryingly, the schools!)