On the 1901 census, there is an Elizia (sic) Mitchell + daughter Sarah Nolan aged 27 + son in law Michael Nolan + daughter Maggie aged 24 living at Kingsbog/Common, Co. Kildare. I wonder if this could be your Sarah? (age is almost right, and mother correct) although area is not Kilmeage.
Here is Sarah's Civil marriage info (same for Michael Nolan, so a match):
Ireland, Civil Registration Marriages Index, 1845-1958
Name: Sarah Mitchell
Date of Registration: Apr-May-Jun 1899
Registration District: Naas
Page Number: 747
FHL Film Number: 101259
You would have to purchase the record from groireland, or view the film at your local FH centre to see if her father was Patrick.
I can't find the family in 1911, which may mean that they emigrated, or just weren't enumerated.