The early 1800s and 1900s saw the town of Graysville, Alabama go through some significant changes. The town was originally called Gin Town, not because they drank a lot, but because there were more cotton gins than there were people. Many of the settlers here came to work at the cotton gins.
Today, Graysville calls itself "Alabama's most progressive town", and you'll see why if you visit! If you are interested in camping, you and your pup would enjoy Brookside Campground. They have trails that lead along a good sized creek, as well as many places to explore. They offer cabins, RV, or tent camping. If you would like to come and visit for the day, you can get day pass, but you have to register your dog at the front desk.
The historic spots of this area are well marked. You can walk through the city and see the old gins as the buildings are still standing. There are a few spots that are closed down, but you can still walk through the lots. Locals recommended walking the grounds of the old church. There is something peaceful about this site.
While Graysville has a couple of Fido-friendly amenities, you'll find more conventional things to do with your dog just a short drive away in neighboring towns.