Weight mapping question

I want to change the weight map bone of a lacrimental from the head to the eyelid or eye itself, if this can be done. I just have no clue as to if it can, or how, and going through tutorials so far has come up with nada. Has anyone tried this successfully?
Comments
In principle that's just editing the weight map, assumng the bone exists. However the difficulty would be distributing the modification, if it wasn't for your own use.
Hm. Thanks, Richard, I appreciate the answer.