Wild Morning Glory Problem

Has anyone heard of wild Morning Glory? It's growing like crazy on my property and taking over perennial and vegetable gardens. They wrap around and seem to almost choke the life out of other plants. I think they spread primarily through root branching. They almost seem to grow right out of the crowns of some of my favorite plants.
 
In the late summer they finally bloom and also (I think) grow thorns on the thicker parts of their stems.
 
I introduced it to my yard by taking in free soil from a neighbor's yard.
 
I'm trying to get rid of it using Brush B Gone, but I wondered if any of you had experience with this intruder. I'm not using the herbicide near my vegetables and I'm trying to be careful to avoid harming my ornamentals.
 
Zone 5/6 Connecticut
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