I didn't see anything to confirm the ancestry for Anne, there is that Newspaper notice from John J. relating to the Waller properties. Anne could have been one of the children mentioned in the article, and he could possibly have come in contact with her that way. There were also various Waller families mentioned in Church records for Dublin city, some back as far as the 1600s, most Church of Ireland.
A partial census extract of Dublin city for 1851 shows a Kilner Waller at Camden Street - possibly a son of Kilner snr. and could be a brother to your Anne ?
Castle Waller is in a townland of the same name (Castlewaller) and part of Kilnarath civil parish, which was part of the Church of Ireland parish Union of Newport (Kilcomenty, Kilnarath, Kilvellane &c), Cashel Diocese. This parish Union has records back to the mid 1750s so if Anne was born and baptised in or near Castle Waller there could be a record. These records, like many historic Church of Ireland registers, are held by the Representative Church Body Library in south county Dublin, transcripts for this parish seem to be available on the RootsIreland pay web site.