Something is not right.
born 8 July - Amy Frances - registered 14 august
born 28th July - August frances - registered 8th august
August Frances birth was registered on 8 August so why wasnt the first child's birth reg. then as well instead of a week later??
I know nothing about Australian/Tasmanian records, but could it be each birth had to be registered in the district where it happened?
so early July, first child born, mother in distress, went to aunt's place, recuperated, went into labour again, second child born, recovered, registered the birth, mother returned to home town, registered the original birth.
As for validating the unusual circumstances, is there evidence of August in later years? It seems to me August is more of a male name, might it be Augusta? Or a male August Francis?