Good luck getting rid of the plant that gives morning glories the bad reputation. Try painting Roundup on the plant leaves and vines near where the crown is in the soil and cut the rest of the vine off. I would think the Roundup would travel down the plant killing it as it goes. I suppose whatever survives will return but you will have weakened it with this action. Just be careful not go get any of the Roundup on your skin. Isn't Roundup marketed in a spray bottle? If so you can use a coarse stream and hose the morning glory as I described. Let us know what results you get, ok?