Probably tarantulas on your grandparents porch. I think the residents of Odessa would take exception about being classified as being closer to a New Mexico town. I was raised out there in that icky, ugly sandstormy Permian Basin, actually I kinda like it out there. The sky seems a lot bigger, even with all the sand in the air, but at least it's not smog.
I'm a Houston girl born and bred, so anything past Shiner is New Mexico to me. ;)