On the trumpet vine, it should never ever be planted in a garden!!! I have been battling mine for years and this year it is still sprouting up wherever it wants to put in an appearance. The main vine was covered with a metal bushel basket after being cut and dug out as much as possible hoping to kill it by not letting a light source get to it. Those roots just run and come up someplace else. When I get some extra time will try painting on a brush killer hoping that will knock it down.