what is this relay called?

I'm drawing a blank.... Jiggling the selector lever would make sense to get the neutral safety switch in the trans into the right position, but I can't imagine what that is doing in the dash. That wire only goes directly to ground the coil in the starter relay on the firewall, unless someone wired it up to an added relay to do something else and connected the G lead of the starter relay to this new relay.

Does this relay behind the dash have a black plastic cover? That may indicate that it a standard aftermarket lighting relay. It will have numbers beside some of the terminals like 87, 85, and 30.... A pix and some wire colors might be helpful to figure out what this is.