What kind of spider this this?
This spider and the egg mass should probably be carefully disposed. Avoid handling this spider. I am not 100% sure as I can not magnify the spider's head large enough to examine the spider's eye pattern, however all other characters including the egg mass indicate that this is one of the recluse spiders (a female) and is probably a brown recluse spider. Those characters include the long legs, shape of the thorax, orientation of the mouthparts and shape and design of the thorax. FMI on recluse spiders, follow these links:
Hope this helps!