Using Freebmd you can search for other potential children called SKINNER with mother called SMITH.
Births Jan-Mar 1917
Skinner Irene E, Smith Birkenhead 8a 735
Births Jul-Sep 1917
Skinner Florence A, Smith Birkenhead 8a 795
(Seems to be too soon after the birth of Irene)
Deaths Oct-Dec 1917
Skinner Florence A 0 Birkenhead 8a 546
Deaths Apr-Jun 1918
Skinner Irene E 1 Birkenhead 8a 495
Births Jan-Mar 1919
Skinner Grace E, Smith Birkenhead 8a 617
Skinner John E, Smith Birkenhead 8a 591
Births Jul-Sep 1922
Skinner David, Smith Birkenhead 8a 791
Might be wrong if there is another SKINNER SMITH marriage.
FreeBMD has index of Births Marriages and Deaths from 1837 to about 1960.
http://freebmd.rootsweb.com/Bryan