Lisa2004, you could take some softwood cuttings, probably towards the end of this month, and onward. You just remove the top 3-4" of a branch, strip off the bottom leaves, trim back the top leaves by half, dip the stem into some rooting hormone for softwood cuttings, and then put it into a small pot that has freely draining moist potting soil (or propagation mix, if you can find it). Cover the cuttings with a plastic dome or bag, and place it in a shady spot. It should stay green and healthy looking and start to pull roots in 6-8 weeks. However, you will have to baby it through the winter. Alternatively, you could try layering some branches. By next year, they should have rooted and you can sever them from the parent plant.

Thank you. I'm going to give it a try.

Commercially I've heard a lot of dogwood is done by taking 14" cuttings after they drop their leaves, poking them 10" into the ground, and leaving them over winter.

It's very easy to ground layer lower twigs.
Just bend them down, scrape off the bottom side of the branches to expose the cambium, paint with root hormone, pile some soil over the spot and hold it down with a brick or two.
Water once in a while.

Easy as pie. Works very well with many shrubs, even with Clematis.

The two bushes that I have frequently have low branches that touch the ground and develop roots (which would be nature's way of ground layering, I think). I haven't been successful in cutting them off from the main bush and planting them elsewhere yet. I'm going to give it another try...
Sherwood, you way sounds very easy~ think I'll try that too this fall.

Hardwood cuttings will root very easily. I haven't had any success with softwood on red twig dogwood cuttings. You don't need rooting hormone with the hardwood cuttings usually just sticking them in the ground is good enough.