Welcome to the Forum !
If you can describe the RSLinx Classic software driver you are using and the exact physical configuration of the controller network, that would help a lot.
Because you describe two PLCs on the network, it's probably a Data Highway 485 (DH485) protocol network.
The best way to connect to such a network is the modern USB/DH485 interface, the 1747-UIC. Are you using one ?
What I think you are seeing is a mis-configuration of an RSLinx serial driver for a DH485 network. All of those icons are for the same controller name, and there are 31 of them (DH485 supports 31 nodes), which suggests that the driver is stuck is some kind of loopback or duplicate address mode.