Yes Hazel; It's bindweed.
I studied up on it last year and found that the root of bindweed will grow in excess of 40' per root.
The more you try to uproot the morning glory bindweed, the more it promotes growth.
I must do something this fall with that one flower bed or else I'm going to lose my very old Kirkland roses.
Goldfields, I do believe the variety I have is a Chollipo Euonymus variety. Mine in particular has grown in excess of 10 feet but had to prune it back very hard last spring so we could stain the side of our house. Fortunately, it seems to have survived the trim and will leave it alone for another 10 years! hopefully