Have you noticed that two Sarah E Dodd's were born in the area in 1887? Sarah E registered Hawarden and Sarah Elizabeth registered Flint.
Clearly one of these married Peter Davison in 1912, and the GRO registers suggest that they had three children: George W 1918, Joyce 1921 and Glenys 1925. Each of the children is registered Hawarden and mother's maiden name is shown as Dodd. My guess is that the Sarah that married Peter Davison is not your Sarah.
Tecwyn.