Rubbing alcohol mixed with marijuana then rubbing on your body.?

I have a relative with an old wives tale...mixing marijuan leaves with rosemary, arnica and Mexican alcohol. You let it sit for a week or so...then you rub it on your aching knee, arm, back, whatever ails you. The question is IN DOING THAT, IF YOU HAD TO HAVE A BLOOD TEST, WOULD THE MARIJUANA SHOW UP??