"Ireland Births and Baptisms, 1620-1881," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FPCW-QDC : 10 February 2018), Elizabeth Anne Martin in entry for Francis Agnew Graham, 21 May 1867; citing Cork, Ireland, index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 101,149.
DUBLIN (COI) , Parish - ST. THOMAS. Marriage of GEORGES GRAHAM of 27 GLOUCESTER ST and ELIZABETH A MARTIN of 13 LOWER GARDINER STR on 16 October 1858. Record.
It may be possible to confirm family relationships with Elisabeth Anne by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Elisabeth Anne:
Living Murrell :
AncestryDNA, GEDmatch A030857 [compare], Ancestry member welshmamgu +
Autosomal DNA Test, GEDmatch A030857 [compare]