Aintree is indeed in Liverpool, and the 3 sisters circuit is near Wigan (ish). I believe they are run by the same people, so I think they are just using "Aintree" as the company's name and your day out could be at the actual 3 sisters circuit which I know do that sort of thing. I don't think Aintree is used for track days but I could be wrong. Either way neither is in Cheshire, so you could demand your money back.