I have a record of the marriage from Ancestry Ireland, that give her name as Olivia Jane Lynar so I think that bit is correct. The Elizabeth Lynar could have been her mother. Was she married to Rev William Lynar of Islandmagee.
According to the Methodist Church Archives :-
"The Rev William King Lynar was a Church of Ireland clergyman b. circa 1818 in Dublin. Made a deacon in 1845 and became rector of Islandmagee from 1849-70.
He was son of Capt William Wainwright Lynar, 18th R Irish Regiment.
Died 21 Apr 1870 aged 51 at Whitehead, County Antrim"
My problem is the Rector needs a wife, Elizabeth would have been 29 or thereabouts when he died and if Olivia was born in 1866 or thereabouts this would fit