I aint even Scotish and I know "outwith" is sort of right... The word "without" is probably more accurate, going back to ancient speak really, being that "without" meant "outside" in them days..
I remember when I was at school and we were doing, of all things, hymn practice, there was this hymn called "there is a green hill far away" and the second line "without a city wall" ACTUALLY means "outside a city wall"..
Here endeth your lesson..!!!