Sewage takes the easiest way out, and that's the lowest open drain in the house. In a home with a basement, it's usually the floor drain or a basement shower. In a slab or crawlspace home, it's often the first-floor shower or tub. The toilet upstairs can look fine while the shower downstairs fills.
If sewage comes up there when someone flushes or the washer drains, the blockage is past the point where the house drains join: in the main line, at the tank inlet, or somewhere in the septic system. A shower that backs up only when that shower runs is more likely a clog in its own drain.
The usual septic causes are a tank overdue for pumping, a clogged outlet filter, a failed pump on a pump system, or a drainfield that can't take more water. After heavy rain, saturated ground is a common trigger in Maury County, where soil over limestone is often shallow.