That would certainly work.  But I would first spend a few minutes with a
meter and test the ground and supply wires, to see which one is bad.
Also exchange bulbs, and make sure the socket is not corroded.

Scott Wilson wrote:
> so my right rear running light is out, the light that
> is on if your headlights are on. i believe from having
> a look last night that it is the two brown wires that
> come together...anyway, im thinking it would be a mess
> to splice open the wiring harness for who knows how
> long to try and find the break, so i was
> thinking...(look out) i was thinking that i could just
> run a wire from the other tail light running light to
> the dead one as a pretty simple fix...any reason why
> this would not work, or reasons to not do this besides
> having a hacked wiring scheme? thanks
>