There's an Overhead car at the Museum of Liverpool at the pier head.
I well remember riding it; it was a great way to see all the ships in the docks. If I remember correctly, a round trip from the Pier Head to Seaforth, Dingle and back, 13 miles, was one shilling and a penny (5 1/2p). I'm sure that was the same price as a day return by train from Woodside to Chester.
There's a book called "Seventeen Stations to Dingle" by John Gahan, available on Amazon. By the same author, a book about the Mersey Railway, "The Line Beneath the Liners" is good.