I wonder if this is the baptism of "your" David Archer - city of birth is correct, DOB is only out by 1 day, and parents are David Archer & Bridget Madden?
Ireland, Births and Baptisms, 1620-1911 (from ancestry.com)
Birth Date: 30 Apr 1866
Birth Place: Dublin, Dublin, Ireland
Father's Name: David Archer
Mother's Name: Bridget Madden
FHL Film Number: 101126
Couldn't find a marriage for David & Bridget, though.