Keating Williams

searching for more information about Lilian williams/Keating.Unable to find any birth record.She was born I think 31/12/1870 in Hobart Australia to single mother Charlotte Williams who was also born in Hobart 1848.Charlotte came to N.
Z. where another child george Randolph was born I think 13/4/1872 Also no record of his birth.Charlotte married James Keating in 1876 who I believe came to N.Z. as a child.they had 6 children listed on bdm nz but not Lilian or George who on subsequent documentation carry the name Keating

Have since my 1st journal established Lillian born 31/12/1870 in Hobart mother Charlotte Williams father Charles Giles.Still searching for information on the remainder of the 1st message