Holly, it is a shame that Oklahoma has no dog laws. I can't get any response from animal control either because we too live in the country. But, I have had good luck with the sheriff. There was one up the road that was tied 24/7 regardless of weather with only an A-frame dog house. It's open back end faced the north! The sheriff came out and somebody got rid of the dog.
I called them over a puppy mill up the road - never saw or had any feedback - BUT the pens are now empty!
Several years ago a stray took up residence on our front porch. We lived in town and as it turned out, he belonged a couple of blocks over. But, no one came looking for him so I gave him to a friend who liked him. When the people did come looking (about 3 weeks later) I just said he used to be here but he's gone now.
Hope you can find a way to rescue your neighbor's dog, too. Keep in touch and let me know what happens.
rversonthego@gmail.com
Thanks for taking the time to answer.
Jeanne