Local Records

Good afternoon, At some time during (and after ?) WW2 my grandparents had a small shop in Liverpool.  I'm very short on information but believe it may have been in one of the above areas. I have traced my Grandfather's RN records but although I know he was discharged in 1942 to the Reserve and it also states that he died in Northampton General Hospital in 1956 I have come to a dead stop. Could you please point me in any direction to obtain further information?  To try and find out using electoral registers isn't an option given the common surname and lack of information. I would appreciate any help you may be able to give. Thanks. Viv Pryer