Isabella Gillan

The names for Annie's parents are from Warren Blackley at Genealogy.com. Difficult to confirm, however, there is this:
First name(s) Owen
Last name Gallen
Mother's first name(s) Isabella
Mother's last name Green
Baptism year 1843
Baptism date 02 Jul 1843
Parish Layde
Alternative parish names Ardclinis, Ballygowan, Cushendall, Cushendall and Cushendun, Layde and Ardclinis
Record set Ireland Roman Catholic Parish Baptisms
Diocese Down and Connor
County Antrim
Country Ireland
Father's first name(s) Henry
Father's last name Gallen

Irish names are variously spelled at this time because the local spellings were not standardised as they are now, and accents re-interpreted phenetically how to write names. This could well be Henry and Isabella from Antrim before migration.

It might be that Warren Blackley based his attribution on this record, but suggests he might have other family evidence to support the choice. Who knows! There are other errors in his work.