SeaMonkey_EU

Heya, I've just bought and Invention Cosutme Piece, and all the parts needed, Then I created it, and then gave it to the character that bought it. I logged off and created another character hoping to add the costume piece to her, but it doesn't give me the option to look at the 'Back' and add 'Wings' etc. Will the costume piece only be available for the character that bought it!?