I am guessing the entry in the NZ BDM Births dated 1859 with the name NR (No Record) is most likely Miriam's birth record.
The NR actually means "Not Recorded" (i.e. the forename(s) of the child, were not recorded at time the birth was registered.)
Yes, the 1859 record at NZ BDM online, is very likely the child baptised as Mary Ann FLEET in 1860.
[ This child has a birthdate of "02 December 1859" : birthdate deduced from NZ BDM online birth registration listing -- see here for further details on how to do this >
https://www.rootschat.com/forum/index.php?topic=745785.0 ]
I simply gave you the information about the baptism record being available because - unlike the birth registration at NZ BDM - it gives the child's full name. If you chose to purchase the baptism certificate, (at a much lesser cost than a birth registration "printout" from NZ BDM) you'd have more
complete
official record.
I searched for 'Catholic Diocese of Christchurch - Baptism Database - V1.2' and could only find references to records being on a CD
Are there any digital records?
Apologies, mention of (Catholic Baptism Database) being on CD was omitted from my reference to it when I went back to add a correction to the title of this resource.
So yes, it's on CD (available for searching at some libraries/repositories in NZ) or the Catholic Archives at Christchurch sell the CD. But as explained previously, it is
only an index - from which you can make an application (to Catholic Archives) for a copy of the baptism record.
There are
no online digital records.
~ Lu
Added : Here is a link to Catholic Archives in Christchurch >
https://archives.chchcatholic.nz/about-the-archives/research/Scroll down to "Research Section" > Research Fees : There is a contact link further down page.