What you have looks like a plain old orb weaver to me. HINT: BR's make cobwebs, orb weavers make spiral webs.
Oh I know what a Brown Recluse looks like --- and feels like!
This looked like an orb spider, but I haven't seen one this size in the US.
I just found a picture of a female WOLF SPIDER that appears similar to this. If it is, I should have just tossed it back into the woods.
Wolf Spider Female - Dorsal View,
Lycosa (Hogna) helluo