I found a solution that avoided having to lose this plug-in. (I didn’t want to try and find another because I like the way this one works).
You need another called “Facebook Open Graph, Google+ and Twitter Card tags”. It’s a big, clumsy name for a set of options that adds suitable Open Graph meta that FB recognises when it’s scraping the Page/Post you want to share.
A bit of tweeking is required and it helps to run the FB Debugger to check you’re heading the right way… but it works!