Hi
I am also researching Elizabeth Watkins (nee James) as a descendant of these family lines. I am also stuck on her baptism record as there appear to be at least 2 Elizabeth James' baptisms at Uzmaston around this time in addition to numerous others in various parts of H'west.
eg Name: Elizabeth James
Gender: Female
Baptism Date: 25 Nov 1810
Baptism Place: Uzmaston,Pembroke,Wales
Father: James William
Mother: Frances
FHL Film Number: 105214
So still a challenge for me!
I am also seeking a marriage record for her and Benjamin Watkins. I have Banns for Benjamin Watkins, bachelor & Elizabeth James, spinster, both of this Parish (St Martins, H'west). Banns read 26 Feb, 5 Mar & 12 Mar 1837 but no marriage record.
I agree with the comments re 1861 & 1871 census records.
Also note there is a book "The County Hospital story: The Pembrokeshire and Haverfordwest Infirmary and the Pembroke County War Memorial Hospital" Unknown Binding – 1989
by W. (Bill) L Richards published by Haverfordwest (Dyfed) : Pembrokeshire Health Authority 1988/9 which appears to be in at least some UK libraries but sadly not on-line. It may have some information on her time as matron if someone could browse and let me know.
Regards
RM