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Hi Gretchen & welcome to Project Noah!
This isn't a brown recluse but a wolf spider of some species - it could even be the Carolina wolf spider (Hogna Carolinensis) but I don't know if they occur so far south & I don't have a resource for Mexican spiders. The Brown recluse is a much more delicate looking spider & can be identified by the violin shape on its cephalothorax. Here is an example - one of the many I find in my house! http://www.projectnoah.org/spottings/821...