Are these sentences same in meaning?

I've had a English writing test with my students last week.

There, I got something confused.

The original answer sentence I've intended to make them write was "She wants to feel the music better," and some wrote the answer as "She wants to feel better the music."

Do they have same meaning? And is it okay with grammar in the Second sentence?

I feel the second sentence, "She wants to feel better the music", quite fine. It looks like that "better" modifies "feel," not "the music." Is my opinion right on this?