The main reason anyone will go to Jedburgh I imagine is to see Jedburgh Abbey, what’s left of it anyway. As you can see from the photos below it’s quite grand still, even as a ruin. It was founded by King David I in 1138.
Some parts of it still have the roof intact.
Other parts of it are just piles of stones where the kitchen and sleeping quarters and such were. Over the years as the abbey became poorer they just abandoned buildings that they couldn’t afford to upkeep. Now it’s maintained by Historic Environment Scotland.
You can see more images of the abbey and town here.