What is the product obtained from the snake star?

People don't really obtain a product from Snake Stars.

In the underwater ecosystem, Snake Stars pretty much attach themselves to black corals.

The relationship with the black coral is probably mutualistic; in the process of feeding by gathering mucus from the coral, the snake star also protects its host from organisms and detritus that would otherwise smother the colony.1
The snake star:
1 http://www.answers.com/topic/astrobrachion-constrictum

Or would this help?:
ophiuroidea-brittle-and-basket-stars-biological-family.

I'm hoping that the above wiki-answers give you the information that you are requesting.

Snake Stars live in deep waters around SE Australia, New Zeland, and also New Caledonia.

To see a picture of a Brittle Star, a type of sea star (as is the Snake Star) go here:
http://fr.treknature.com/gallery/North_America/United_States/photo80622.htm