Garden Weeds Now, World Domination Next

We have a new back yard fence. This one replacing the one that blew down in a storm two years ago. We, the royal we, meaning my husband, not moi, is slow to get cracking on garden projects because of the one and a half years of house renovations and additions, and all the attendant mess created by the carpenters, plumbers, electricians. He hates to get in their way, he says. Sure. He was still dawdling so in the end I hired a student to put up the fence. What a blessing. I don't have to look at the rental next door with the giant blackberry bushes. For the most part I am an organic gardener. I draw the line though, at the fence. There is no way I'm letting those monstrous briars gain a stronghold in my garden, tossing their thorny canes on to my property, setting roots at every tip that touches the ground. Horrors! They're as tenacious as Bindweed, that other hideous weed with its serpentine, easy to snap into a hundred pieces -- root where they fall, stems. Bindweed like to travel. God knows how far underground. By the time you see them, their lovely white, 'Morning Glory' like flowers bobbing in the air on the far side of the garden, the damage is done. By then they've put a strangle hold on some defensless plant, pulled it to the ground so tightly you can barely see that a plant ever existed in that spot. "Didn't there used to be a stand of waving, wands of Stipa gigantea in that corner?" you ask. Hmmm. I'm looking for that can of RoundUp..