You're very welcome!! Any idea which rose you have inherited? If it's something like a large Iceberg, New Dawn or one of it's relatives, you could probably use a honeysuckle. But most honeysuckles tend to get quite large. I'd go for a shorter (10' to 12') clematis just to cover the 'legs' of the rose. If you get one of the clematis that blooms on new wood, you would be able to prune it back every year and it won't overwhelm the rose.
I too have recently started taking pics of bugs 'n stuff in my garden. Unfortunatley we can't post pics here off our computer.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.