I would remove a lot of the old gray wood next March--cut the canes at the ground or at the graft if one is visible. Hopefully it will respond by making some strong shoots from the ground. It looks like this rose is best grown as a climber with all the strong shoots fastened to the fence. Tie them rather than weaving through the lattice. Create a fan pattern by leading the first canes low and almost horizontal, the next in a low arc above the first, etc. Having lots of cane nearly horizontal (or 45 degrees) will greatly increase the amount of bloom. Most roses have canes that are best trained after they have grown well out and become fibrous. Then they will bend without breaking. After it begins to get crowded again, remove a fraction of the oldest canes each year at the base, Do the main pruning in June after blooming to maximize the amount of bloom. You can also remove the stronger laterals (strong secondary shoots off the main canes) unless you need them to fill in. Cut the shorter laterals back to 2-3 leaves after blooming. The spots visible in pics 6 and 7 are blackspot disease, but the plant must be somewhat resistant or it would be defoliated by now. The foliage appears to be of modern type. The hooked thorns suggest the parentage includes climbing species. You can show us blooms and buds next May.

They are survivors. First clean out all the dead wood on each bush, stepping back after each bush to see what you have to work with. If you have canes that have already bloomed, go ahead and prune that cane back about 3/4 of the way down to where it started from. Any canes that are spindly, thin and just clogging up the bush, cut them out completely. Any canes that are producing nothing but foliage (no buds or blooms), cut them back about 1/2 way. By now each bush should be opened up a little. They might look a little off balance but you DON'T want to do any hard pruning just before summer temps start to show up. Now it's time for a little work. Water each bush and the surrounding area real good. Clean out all the weeds and grass from under them. At least 24" from the base of each plant. Now that the soil has been loosened up a little, water each bush again. Buy a bag of Black Cow and put a big shovel full on each bush and water in again. During the summer just keep the bush's well watered and continue to shape each bush. When Sept. comes around throw another shovel full of Black Cow on each bush. When you get a chance, contact the San Antonio Rose Society and find out when to do the harder pruning. I think they are the closest Rose Society to you.

Here mulberries come up on their own and I just chopped down about 6 that just came up a couple weeks ago next to my basement door. They were already taller than me. We thought we had killed it, but apparently it was just waiting. For the rose, it is hard to tell by the leaves, but they require at least 6 hours of sun to bloom. It may not have bloomed because it was overshadowed by the mulberry. Since the rose is coming back with a vengeance with revenge in its heart, it could be a multiflora, especially since it spreads like bubonic plague. I think the leaf count is off for that, but not sure. Unfortunately you will probably have to wait until it blooms to get an ID. Where are you located? Here in my area roses will be blooming until November or December. If it is a reblooming rose, you may get blooms this year.

Sylvia while I can't help you identify your rose other than a wild guess of Mr. Lincoln. I would suggest contacting your local American Rose Society they have consulting rosarians that would be happy to come out and look at your rose. They could also suggest how best to prune and fertilize it. the other alternative is you wanna take a, wack at it yourself, is to cut out the three D's ,as Baldo likes to say, remove; dead, diseased and damaged canes. Damaged canes are often damaged because they are rubbing against another cane so removing one will help open up the plant, and in doing so will likely improve and invigorate the rose. Those are the basics but practically every rose book out there will further explain how to properly prune a rose bush there are also a number of helpful you tube videos specifically on pruning.