Ellen Pickford born 15 March 1874, Ennis, Clare
Fa: Michael Pickford Mo. Bridget Kinealy
Anne Pickford born 6 Oct 1869 #248 Ennis, Clare
Fa:Thomas Pickford Mo:Anne Hogan
Fanny Pickford born 22 Jan 1872, Annicariga, Clare
Fa: Michael Pickford Mo: Bridget Kinealy
Catherine Pickford born 9 Dec 1873, Ennis, Clare
Fa: Thomas Pickford Mo: Anne Hogan
Catherine Pickford 25 Nov 1875 Ennis, Clare
Fa: Michael Pickford Mo: Bridget Kinneally
(if the only Pickford's were girls then easily the name would die out eventually)
This won't help much but the parents name are there snd they likely were born in the 1840's. It seems like anything official has no continuity and 30-50 years between.
Sorry I can't get you any other births but they case my computer to freeze so can't use them.