Morning glory is called Bindweed because it wraps its tentacles around other plants and chokes them out, stealing their water and nutrients. If you see this sold as packets in the garden center, do not buy it. It's a trap!
The best way to get rid of bindweed is to go to your local farm store, or some garden centers and get the product 2,4-D. It is a great weed killer that is deadly to all broad-leaf plants including morning glory and dandelions.
What 2,4-D does is inhibit the protein in the plants that tell it to stop growing and to start setting seed.
So the way you use it is to spray on the 2,4-D and then after it dries, you water your lawn/garden as normal. Yes, that's right. You want the morning glory to grow. Because, it will grow and grow until it burns its roots right out, and eventually it will die. If you do not water it, then it will possibly go dormant, and then you will have the problem next year.
Watch the above video to see how we get rid of morning glory on the backyard farm.