Hi all,
On the RChat Resources board for South Australia, there's a link to a free to search index of S A births up to 1854. On that link for Harriet's nee surname the index spells her m.s. as STACEY. This is for a birth for:
Fanny HARMER, born 9 Nov 1844 at Thebarton, father Edward Harmer, mother Harriet Stacey.
There are many links on the SA resources board, including one for how to obtain free transcriptions of historic BDM certificates that were registered in the Adelaide district.
Cheers, JM