When I started Negril.com back in 1995, there was not a work permit category for Internet businesses. There was not even internet on the island yet so no reason for the category. I had to register the company as a boutique shop that offered "email related services".
http://www.realnegril.com/beingees/behist01.htm
To stock the shop, we went to MoBay and bought wholesale souvenirs at the main craft market there. Boxes were coming off the ship from India at the time and you would "bid" on each box. One vendor purchased a box clearly marked "Jamaica carvings" and when she opened the box in front of all of us, each of the carvings said "Aruba". After about 10 minutes of laughter, she got her money back from the wholesaler, but each box was opened first before bidding resumed.
If you want to really get Jamaican hand made carvings, try places like Dr. Quality and Fay's near Negril Escape. You can place an order and actually watch his progress during your stay. He can even make carvings based on emailed photos. Fay hand makes her jewelry so you can wear a piece of Jamaica home.
But regardless, you are still supporting the local economy when buying any souvenirs, the vendor had to purchase them and you are helping them to support their family. It is the same worldwide, although I would assume Chinese souvenirs are made in China... (grin)