The Correct place name is BEVINGTON BUSH as anyone from Liverpool will know. There was a pub at the place where Scotland Road (Scotty Road) and (I think) Gt. Howard St diverged. The pub was called the Bevington Bush. The Salvation Army Hostel was nearby and was called Arden House. It was often used for overnight stops by Lorry Drivers as well as the local homeless people. They also ran a cafe there which served up great cheap meals. Sadly its gone the way of progress and the whole are is now the main approaches and connecting roads for the Wallasey Tunnel.
My Grandmother claimed to have seen a black man with dancing dolls in Liverpool around the beginning of the 20th century and when she heard this song immediatley associated it with the character she had seen as a young girl - she would have been about 12 years old in 1900 so it could be the same person.
Hope this info is useful as it indicates that Seth Davey was a real person.