It's a female Southern House Spider, Kukulkania hibernalis, which appears as Filistata hibernalis in older literature. Notice how there are four pairs of eyes gathered into a little turret in the middle of the cephalothorax (the body segment that the legs are attached to). In sicariid spiders, such as Loxosceles, there are three pairs of eyes arranged around the edge of the forward part of the cephalothorax, one pair on each side and one in front, leaving the top of the cephalothorax smoothly rounded.
The internet doesn't work well for identification, even of vertebrates such as birds, though you can usually find illustrations, once you know what you've got. There are no substitutes for a good identification manual for id-ing invertebrates. Finding the books can be a problem, though. Public libraries often have very limited holdings. (Interest in the books tends to be relatively limited , and they tend to be somewhat expensive.) The nearest university library will usually be a better bet.
Will Pratt, Curator of invertebrates
Barrick Museum, UNLV
Las Vegas. NV