I don't have a Rose Merlihan in my records, but I do have the Merlihan/Merlehan surname show up several times as baptismal sponsors to my Murray relatives in Delvin/Ballynaskeagh as follows. The records are from the Church of the Assumption in Delvin.
Thomas Merlehan and Mary Murray witnesses to the baptism of Nicholas Murray, 20 Sept. 1898 and
Margaret Merlehan and Edward Kiernan witnesses to the baptism of Kate Murray. 16 Jan 1887 and
Margaret Christina Murray, baptised Church of the Assumption in Delvin on 24 dec 1888, daughter of Patrick and Bridget (Murtagh) Murray, sponsors Peter Merlehan and Mary Merlehan.
Let me know if you think I can make a connection.
Maureen Murray Webb