Answer: I have just such a weed in my backyard! Though there are many vining plants that fit this description, I can't identify it without seeing it. I suggest: 1)ask your neighbor if they know what it is; 2) contact the county agricultural extension office (ph# 910/767-8213) and ask if you can send a sample in for identification.
One thing such vigorous perennial vines have in common is their staying power. With some, it's possible to "starve" them by diligently weeding all green growth to the point where the root stores are depleted, and can no longer send up shoots. But as long as part of the plant (on your neighbor's property) is allowed to grow, the roots will be replenished, and your efforts will simply maintain a status quo. Sometimes, heavy landscape mulches keep them at bay for a while.
You can also use a systemic herbicide. The extension office can tell you what to use once the plant has been identified. Use herbicides with caution -- follow the label instructions carefully. Best of luck to you!
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