Hello Sally. It looks like the dreaded ground elder to me. Almost impossible to eradicate as any tiny bit of root left behind will re-grow. You will just have to keep digging - and digging and digging it out.
it doesn't like glyphosate.Just a thought.
Just a thought.
I have a very sensitive track pad on my laptop and I think I may have inadvertently flagged your post as I was scooting around the page. I haven't a clue how to undo it until I can speak with Nora on Monday. I do apologise so please ignore any reference to a 'flag' (I don't even know how it works!) as it was a mistake on my part.