Alfred is proving elusive at the moment but I have found birth entries for two Emily Parkers, as follows:
Emily Sarah Parker b: 16 June 1876 in Dernum, Leitrim - parents: John Parker & Sarah Ann Robinson Parker.
Emily Parker b: 24 February 1876 in Coleraine, Londonderry - parents: John Parker and Sarah Ann Parker Glover.
Does anything on either of these two sound familiar??