To be on the safe side you should really obtain George's birth certificate.
You can order this on line as a PDF copy from the General Register office - it is cheaper than ordering a paper certificate.
https://www.gov.uk/general-register-officeYou will firstly need to register if you haven't used the site before.
Then 'Search the GRO Indexes' using George's name and birth year - with the Registration District shown as Haslingden.
When you see the correct result, just click the box and complete the order form. It usually takes about a week - but may be slighly longer at the moment. You will receive an email notification when it is ready to view.
This Register shows Eglin as his mother's maiden name -- but with the info from Lancs BMD it looks like she may have married before to a Cross. Hence she will have married as 'Cross'.
There is a marriage on Lancs BMD of a William Henry Hamer to a Mary Emma Cross in 1912 in Hyndburn -- on the Civil Registration Index it is Haslingden Reg District. It was a Registrar attended wedding.
Hence these 2 MAY be George's parents - but it would be safer to obtain his birth cert.
Unfortunately the marriage and his birth occurred after the 1911 census - so there is no census information to back this up.