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The two-foot high floweringThe two-foot high flowering thing does not sound like watermelon. You are correct: watermelon would be a vine that pretty much creeps across the soil. Instead of pulling the invader and risking upsetting the watermelon's roots, cut it as close to the soil like as you can (be careful not to nip the vine). Do that as often as needed. Good luck with the melons!

2015 Special Edition Garden GuideCooking Fresh with The Old Farmer's AlmanacThe Almanac Monthly Digital MagazineWhat the heck is a Garden Hod?