The 1901 Census shows the following:
Does this help? I'll also look in the 1911 Census.
There is no sign of 'Sybil Davison' in the 1911 Census. My thoughts are these:
She married Robert Anderson in 2nd Qtr 1906 in Newcastle. She had 3 children with him but in the1911 Census Sybil Anderson is a 'widow'. Also listed is a Robert William Anderson and James Anderson both born in Gateshead as well as 3 younger children (Adeline, John and Elizabeth Emma) all born in Newcastle (where Sybil m. Robert). There are also 2 other relatives: Mrs Hannah W. Burns and her daughter Florrie.
Just putting pieces together... but could be wrong.