Have you checked with a local upholstery shop to see if they have something similar?

Your best bet will be to use the fabric as an inspiration rather than trying to locate the exact same. Coaster furniture is Chinese made and shipped by the container load so is likely not something you’ll find in a local fabric store.
Check for reupholstery shops in your area. They will have tons of books of fabrics you can’t find at Joanne’s or the like.

Isn’t there an industry database to search these things.. ??

No. Some furniture companies will use exclusive fabrics, as acdesign said, and others don't make it public as to who's fabrics they are using.

You might try searching "crushed velvet"

Also, try.....textured velvet or antiqued velvet, or upholstery chenille

Beige Upholstery Chenille

Antiqued Velvet

Valdese Crushed Velvet

Valdese Crushed Velvet

Why do you need more of the fabric?

I’m trying to do a matching ottoman