Hi Ann. She was born Ann Evans, daughter of Evan Evans and marries James Davies in 1854. I have found the following passenger details for her -
Name: Ann Davies
Birth Date: abt 1836
Port of Departure: Liverpool, England
Arrival Date: 5 Aug 1856
Port of Arrival: Philadelphia, Pennsylvania, USA
Age on Arrival: 20
Ship: Tonawanda
I have also found evidence of Daniel Driscoll going over to Pennsylvania with his mother, Wineford (Winifred?)
In the 1870 Census in Berks County, Pennsylvania, she is married to Daniel Driscoll. By 1871 they are back in Merthyr Tydfil (name misspelt as Duskel) with two children whose surname is Davies.
The 1870 Census is very indistinct, but not sure how to send it anyway.