The "nibbles" signature has a good chance of being authentic. I believe the second one is not.
Agreed, 1st needs reexamination.
I don't have an opinion on the first one, "To Elizabeth and Nibbles," which I assume is a young autograph if it's real, and I'm not familiar with Taylor's autographs when she was young.
The second one looks traced to me, and not necessarily from a genuine autograph.