How about tension rods?
Without a picture, it is hard to determine what type of overhang you are talking about. There are many products on the market from sail shades to outdoor shades and curtains all depends on the type of attachment you need.
I'm guessing but you want it over top of your patio?? or hanging from eaves to cover windows?? shade cloth get at hardware stores here are numerous ways to install them https://www.youtube.com/results?search_query=DIY+how+to+attach+shade+cloth+to+roof+eaves
Hi Ron: Can we have a picture of the area you are asking about? Also, what types of fabric, wood, plastic you are thinking of using. This would help out a lot. Thanks
Thank you for the suggestions. I'll send a photo
There are fabric gazebos online of various sizes. If your patio is small, look for a grilling gazebo. My daughter has enjoyed hers.