I've never thought much about
Leigh, but I rather like it. I can think of 3 girls named
Leigh (actually, one has the double name Leigh-Taylor). I think it has a sort of preppy vibe, and I can see it fitting with both
Taylor and
Elizabeth.
Leigh and
Taylor or
Leigh and
Elizabeth could be sets of sisters.
I could see your name being
Leigh.
I hate when it's the end of a name, though (Ansleigh, Harleigh, etc.).