I though spider mites was one of those bugs that Lady Bugs like to eat.
You're thinking of aphids, which lady bugs eat up like a fat kid eats cake. They might go for spider mites, but I know that they specifically go for aphids.
@OP:
A picture of the plant and it's roses when in bloom would be helpful... in short, you don't even want to know how many various types and species of "yellow roses" exist in the world. But it doesn't really matter unless this is some uber-rare species (since a lot of roses like the same things), but since the plant is of emotional importance I would since it couldn't hurt... hey, I don't want to be the guy that told you to do something to kill it b/c it's some uber-rare asian hybrid or something.
Spider mites though eigh? Spider mites attack a variety of indoor and outdoor plants, so make sure you isolate the plant from any other infected plants or that you group all these infected plants together from the uninfected so you can try and quarantine them... honestly though if you have cats running around from one area to another this could be futile.
Dust that settles on the leaves encourages mites, hose off the plants or spray them down good with a water sprayer frequently, this will actually help keep the pest population down quite a bit. Increased humidity, having it sit in a pan of water are also helpful, but nowhere near as good as simply spraying it down real good once or twice a day (with one of the hand-held spray bottles is what I recommend... they also make great anti-cat artillery pieces).
Mites have many many natural predators. You can purchase lacewing larvae and several species of predatory mites that prey on specifically spider mites.
Mites can often be washed from foliage with water jets (I wouldn't spray it hard enough to cause damage to the plant though, especially if its in a weakened state) and this stuff called insecticidal soap is also effective on mites.
DO NOT MIX horticultural oil (which is effective on mites when sprayed onto the plant) with sulfur dust/powder (which is effective when dusted on the undersides of leaves), it's one or the other. Neem oil is a miticide that I've heard of before.
Personally I've found spraying the plants down with just water multiple times a day to quickly stem an outbreak, typically I'd use fresh cold water from the tap since mites hate cold n' wet. Make sure you spray the underside and top of the leaves good. Then when the population is down to a point where I think it's more manageable, I spray on some insecticidal soap, top and bottom of leaves... maybe three times a week if I know they're around, once every week or two if it's just for prevention.
