E-mail me and I'll tell you how to post pictures.
Trying to do it here just results in this little square with an "X" in it.

If the cane comes from below the graft it's a sucker. To remove, grasp it firmly as close to the source as possible and pull down to remove a little of the tissue where it's attached. Cutting or breaking it off can cause it to branch and just get worse.

Suckers are amazing and working for years to get the best roses from cuttings I've this and last year gotten to know Dr. Huey suckers very well and I was silly enough to grow these from cuttings and since thrown them away. Out of the base of a great rose comes a green rather smooth thick branch with lots of leaves smaller than others on that bush. A deep wine rose appears and actually has a lot of blooms and looks great but eventually started to suck the life out of the better rose bush. Dr. Hueys just bloom once a season and that boom so no big deal. This year I removed all the Hueys and my roses are amazing just like in the garden magazines, so healthy.