Since there's 2 LG TVs in the household, I figured I might as well make a separate page for them.
There's some ways to jailbreak some LG TVs -
You can get SSH access by following instructions on the second page of that XDA post.
cat /var/run/nyx/device_info.json - has mac addresses and TV model name among other things
cat /var/run/nyx/os_info.json - webOS version. The version the TV displays is FW version, not webOS version!