If he's the one in Higher Bebington in 1871 with a son who was born in Wavertree
I don't know anything about Higher Bebington, but it looks like it is just off Church Rd, the address givenn in 1861
Here's the 1871 that I was referring to:
1871 RG10/3741 Folio 39 Page 19
Esplanade, Rock Park, Rock Ferry, Higher Bebington, Cheshire
John J Brown head m 29 Annuitant Lancs Liverpool
Annie M " wife m 26 Nottingham Newcastle
Chas R " son 5 Wavertree Liverpool
John D " " 3 Lancs Crosby
Alice Carroll servant s 17 Dom serv Liverpool
Barbara