UPDATE!!

Been checking out NSW BDM and found out some details

birth: 2970/1886 FRASER Florence M parents Archibald and Catherine

death: 180/1907 WHITMORE Florence M parents Archibald and Catherine

birth: 322/1907 WHITMORE Lilian M parents Cecil F and Florence M

Looks like Florence passed away after Lilian's birth. Cecil had another child to Muriel Smith in 1909, then married Hannah Evans nee Mulack in 1931.

Still mulling over the confusion about his mother....can't find a death for Mary Thompson between 1882 and subsequent marriage to Mary Harris in 1888. The Thompsons as Cecil's witnesses must be relatives????