Hi,
If I am looking at the right parents Alfred Bertram's father also Alfred Bertram is living in Aston in 1901 without Emily Nee TAYLOR. Emily is with her parents John and Elizabeth TAYLOR in Hunslet, Yorkshire.
Unfortunately we are not able to transcribe info from the 1911 census here, but from using the free index I can see Alfred Bertram SKIDMORE b.1908 living in Hunslet, his grandparents are also still living there. So it looks like they or Emily took him out of the orphanage before 1911.
Living with Emily in 1911 you may find,
Arthur SKIDMORE Dec Q 1902 Hunslet 9b 250
mmn. TAYLOR
Florrie SKIDMORE Dec Q 1909 Aston 6d 222
mmn. TAYLOR
I also think these could also be Alfred Snr. and Emily's children,
Doris SKIDMORE Jun Q 1901 Hunslet 9b 268
mmn. TAYLOR
Lilian May SKIDMORE Mar Q 1905 Solihull 6d 639
mmn. TAYLOR
This could show that Emily was living/staying with her family in Hunslet. for the births of her first two children.
If you look up Doris and Lilian in 1911 they are in Bristol.
Looking up info. about Muller's Orphan Houses, Ashley Down, Bristol might help
https://www.about-bristol.co.uk/ash-01.asphttps://www.mullers.org/orphanrecordshttp://www.childrenshomes.org.uk/Muller/Regards,
Daisy