Do you have a connection to Ireland, if not you might want to post on the England board or Lancashire board?
Have you tried www.freebmd.org.uk
Birth for Ethel Stout, Sept. 1907. District Barrow F. Vol.8 E, Pg. 794
there is a link to the public organization who will provide you will a copy of a birth certificate
Birth for Alfred Joseph Stout, as above Vol.8e Pg. 791
Birth for Alfred Stout, June 1892 District Warrington
Vol.8c Pg. 259
Marriage for Alfred Stout, Sept 1903, District Barrow F.
Vol.8e Pg. 1601www.familysearch.org
birth for Alfred Stoute, St. John Barrow in Furness, Lancs, Barrow to Alfred & Mary Elizabeth_________07 June 1905
I can't believe Alfred Senior would of been only 16 is born 1889, but did find one:
born 11 Sept 1892, St. Peter, Lancs, Warrington Humphrey Stout. LDS microfilm C05120-8/1655858
There are minimum of 4 Ethel Stouts but think this is the right one
1911 UK Census age 3, Burrow in Furness, Institution birth
as others show household births
I would need to pay to see the 1911 UK Census. Whereas you
may have this already as you have referenced it.