Is the rose bush on it's own roots, or is it a grafted rose? If it's on it's own roots, and canes come up from under the ground, you could cut out a section and move it to it's own spot in the garden. Cut it back to about a foot tall dig it out, try to keep as much soil with the rooted canes as possible, then move it to it's new home. If it is a grafted rose, and only enters the ground in one spot, then you would have to take cuttings and root them, then move them to the new location, or move the whole bush to the new location. It might just be easier to go buy a new rose bush. Add a different variety to your collection.