Hi Dandalady, welcome.
You didn't sound totally convinced about the 4 children, will these help?
Kenneth Leslie Rogers, b Q2 1901, Ormskirk Lancashire (right reg. district for Southport). Vol 8b, page 870
Sheila Rogers, b Q2 1903. Registered Ormskirk, Vol 8b p 930
Douglas Chrystal Rogers Q2 1905, Ormskirk, vol 8b, p 950
Not so sure about Andrew - there are several Lancashire possibilities but none immediately come up matching the Ormskirk registration of the elder 3.