Hi have tried to put a trail together of all the information you have found me:
1895 16 Holden Street John William Davies has this address on his army records he was 17yrs10ths
1891 148 Olivia Street last known address for Honora/Norah/Ann Prendergast.
1901 Her father is living with his daughter Mary (now Usher) in South Shields. His wife having died in 1884 in Liverpool
No sign of Honora Prendergast.........although the birth of John Francis West would explain that.
I cant find neither Norah or John on 1901 census. Still looking under all the alias but havent found anything yet
so between 1899- 1911
1899 3 Roberts Terrace Salisbury Street .........John Francis West born 18.12.1899
1901 39 Exe Street ....Jessie May Davies born (13.12.1901) but baptised as Jessie May West (5.4.1902)
1903 Jane Helen Davies Born 24.03.1903........sending for cert!!
1904 33 Lovet Street given as mothers address Norah Davies born (23.4.1904) although address of birth is 13 Holden Street. Certificate date is 2nd June...........so moving to Freeman street happened maybe in June/July/August of 1904
1904 26 Freeman Street Jane Helen Davies died here 26.8.1904 (just realised i dont have her birth certificate, will order after this) This is also the address of her baptism on the 16.8.1904, 10 days before she died.
1907 51 Dove Street, this is registered address for death of John Francis Davies, Born John Francis West.
1908 33 Eden Street Sara Davies (my nan) born 7.4.1908
1911 88 Solway Norah, and children Norah and Sara living there. John William Davies "away"
1911 16 Liffey Street, Jessie May living here with Grandparents
Dont know if this will help
