I maybe able to help you but not till Monday. I have a CD of Civil births 1864-1875 which should cover the birth of Delia. This is also Latter Day Saints but included parents names. I will look them up and see if I can add to your information.
I looked at the US Census but too late for the 1880 and she was already passed by 1901. There was no 1890 Census that I can see.
I did did find a Charles A. Ormsby in the 1901 Onondage, NY census age 60, a widower.
I did find a couple of possibilities for Passengers to New York.
a) Delia Farrell age 21 servant, Co. Mayo on Ship Umbria arrived 18 June, 1888.
b) Delia Farrell age 25 arrived 8 May, 1890 from Ireland on
In looking at shipping records don't be put off by 'leaving from Liverpool'. Ships from Liverpool, England stopped in Dublin, New Ross, Wexford, Cobh/Queenstown Cork, and other ports on their way to the USA.www.censusfinder.com
+ Galway but couldn't fnd anything but further research might help.
A bmd index for Ireland has o births for the name Delia Farrell, however, there were Bridget's, Catherine, Francis, Mary, Winifreds, Honora/Honoria's in 1868.
If I forget to get back to you on Monday please don't hesitate to remind me as I easily forget things.
'genealogy for fun'