This looks like her arrival in Australia, on the Tudor. Departed Plymouth, arriving Hobson's Bay on 14 March 1864, aged 20, kitchenmaid, from Cardiganshire. I can't make out the name of the person she is engaged to work for (smudged), but they are in St Kilda.
I don't know much about Wales, however there is a family in 1851 in Ceulan and Maesmawr, Cardiganshire:
Evan DAVIES 41 Llanfihangel-Geneu'r-Glyn farmer (I think)
Margaret 42
Jane 14
Evan 12
Catherine 9
Lewis 6
Jeremiah 3
Evan Jones 95 father in law, Llanbadarn-Fawr, retired farmer
HO 107/ 2486 pg7
Geneu'r-Glyn is only about 6km from Taliesin.