Marianne, the FreeBMD index (http://freebmd.rootsweb.com/)shows
the following birth registration.
Born in the Dec Qurater of 1863
FANE Frank William Canterbury 2a 601
This is the information needed to obtain his birth certificate which will give the names of his parents. The certificate can be orded online with a credit card through the General Register Office (GRO) providing the information above from the birth registration index.http://www.gro.gov.uk/gro/content/order_certificates/index.a...
I hope that helps solve your mystery.