Thank you, John and Larry. I pulled as many suckering roots as possible, potted Star of Altai and the male in one large pot (they weren't that vigorous) and chopped down the huge female Titan (which has sharp thorns), and poured vinegar on the stump and ends of any roots I couldn't reach. The roots were under other things I've planted, and didn't want to dig those up. Since there wasn't any sign of berries, I'm assuming it didn't bloom. I just don't have a big enough space for a suckering tree.