:)Hello, I also have researched Elizabeth Louise Pemberton, who married Thomas Croxton. Like you I hit a brick wall trying to find her before her marriage. She is indeed very elusive. Thomas Croxton was the brother of my g-grandmother, Esther Croxton (B.1850) who married David Wright. I am descended from them through one of their daughters.
Elizabeth interested me because I was born a Pemberton, and I wondered if she were in any way related to my Pembertons' from Lancashire. It would be a coincidence if the Kent Pembertons' were related to the Lancashire Pembertons; perhaps William Pemberton was a cousin or brother of my g-grandfather. I did research this some years ago, without much luck, but maybe you have information which I do not have. Would be interesting to know.
Regards, Pemros