How can I gain Liryl's trust?

Hint 1 of 12:

In the central room, try to use the lift in the center.

Hint 2 of 12:

Liryl won't allow this until she trusts you.

Hint 3 of 12:

You might try some gifts.

Hint 4 of 12:

Seashells from the beach are nice.