I can't find my records on who I bought my fabric from. I did a bit of searching and I came across this web site which seemed familiar, but they are located in California, not Texas.
www.sewwhatinc.com/eswatches.php
Maybe my memory isn't too sharp these days. Could it be that they just shipped to me from a warehouse in Texas? Anyway, I'm not sure if this was the place, but they seem to have everything you need. Once you see the kind of fabric and terminology they use, you could search for other companies for comparison.
The link I provided shows a list of fabrics they sell. You will want to choose from the ones that are marked IFR (inherently fire retardant). If it is only FR, that means you will periodically have to retreat the fabric to maintain it's fire retardance. And if it's NFR or something else, you can't use it.
Don't get too hung up on the pictures, they don't do justice to the fabric in your hands. You can request sample swatches from those fabrics and colors you are interested in. I do remember my fabric was 100% polyester. It seems this is an IFR fabric. It is not going to be as heavy as some others, perhaps medium weight, but it hangs and looks great. I believe it is also mold and mildew resistant, which is important as well.
You will probably need to call them for pricing. This would help in comparison shopping. I'm not sure who else does this though.
Also, when it is time to hang the drapes, I recommend you consider using simple conduit for rods. Nobody is going to see it anyway. We connected sections of conduit by inserting pieces of 3/4 round wood molding into the end of each piece of conduit to form even joints. I think we used 3/4 inch conduit, which would make sense. Check fit before using though. Maybe a 6 inch piece of wood will insert into the ends of two pieces of conduit to form the joint. We also custom made our own own brackets from 2x4 or 2x6 boards. They were cut with an electric scroll saw I believe. They look kind of like an odd shaped "Y" using curved lines on one side, and a flat side to go against the wall. These will not be very small, or they will probably break. We painted them black and secured them to studs with long screws. At the bottom of the drapes, we did the same thing except that the "Y" was upside down. This way the drapes were secured, and could be stretched a bit. You may need to pre-drill holes before putting in screws. Working with 15 or 16 feet long pieces of fabric on rods on top of scaffolding was interesting.