Home remedy....... Bacon Bandage, might seem strange, but the old tymers swear by it! Cook a piece of bacon, not crispy, tear off a small piece and lay it over the area cover the bacon with an adhesive bandage or piece of tape and leave it over night, the next morning the bacon should have worked its magic and enough of the splinter or HAIR in your cause should be exposed to easily extract it with tweezers, or possibly bare fingers. Good luck!
I know this seems maybe silly but my grandma (105 yr old!) put honey on my finger one time when I got splinters. Wrapped it overnight and the next day the splinters were on the surface. I know, wierd, but ya have nothing to lose. It won't hurt you and she is 105 for some reason.