Hi Excelsior, so sorry to hear about your Grandmother, I hope she will be ok, and you look after yourself too.
The fact that she recognises you and is trying to talk I would think is a good thing.
I had a stroke 21 years ago, mind you I was only 30, I was the same as your Gran, couldn't speak legibly, and lost everything on my left side.
Now, I still have a weakness on my left side, worse when I am tired, can speak ok, but quite often have to think of another word for what i want to say because the word in my head won't come out of my mouth!
I suppose your Grans recovery will depend a lot on how strong she is, the fact that she was still living on her own and looking after herself must mean that she was ok before, but prob won't be able to go back to being on her own after.
I hope she is ok, please let us know how she gets on, love to you both. X X