1. She doesn't have a pretty face and a warm heart.

Question

2. She doesn't have a pretty face or a warm heart.

(Are both the same in meaning? What is the meanig of #1?)

1-1. She doesn't have both a pretty face and a warm heart. (She has either a pretty face or a warm heart.)

1-2. She has neither a pretty face not a warm heart.

(What does #1 mean, #1-1 or #1-2? Or what other meanings does #1 have?)