It must be a coincidence in that case Nesta as I'm sure you are aware that names in Blaenau Ffestiniog were commonly used over and over again! In fact I remember my Nain from Manod, talking of a Lizzie Lloyd...but being so young at the time, I didn't take much notice of what was said about her!
I have a 10 year old Lizzie Lloyd travelling with my Gr Gr Aunt Catherine on the 22nd August, 1903. According to the record, Lizzie's Aunt, another Lizzie Lloyd paid for her ticket and she would have met her off the boat in New York. That Lizzie lived in Louth Street, Utica, New York.
Diolch Nesta.
Arwel