Been trying since yesterday to trade all the relevant items:

-Lanun Tricorne
-Rem's Tale Ch.6 X 8
-Kaggen's Cuticle
-Gabbrath Horn

to Make Lanun Tricorne +1 but she seems to think ive only traded Rem's Tale Ch.6 X 8 and stores them for me. Traded other items for upgrade since to check if working, all fine except for this piece.
Its a similar prob to this thread: http://forum.square-enix.com/ffxi/threads/51361-Monisette-Will-Not-Accept-the-Items-I-Give-Her?
and have tried what it suggest on there by talking to Sagheera but still doesnt work for me