The first one I think is a Trollius europeas, Samjp. You're right about the second one - it looks really familiar, but I can't think what it might be, unless it's a foxglove, but the leaves look too long for that. Someone's bound to know, AND give you the latin name, too.

First one looks like a rununculus (basically an ornamental buttercup) and second one looks like a foxglove

I think, first one ranunculus and the second one foxglove

Feel the leaves of the second one - if they're soft and comfortable to touch, its foxglove - if they're uncomfortable and slightly 'scratchy', dig it out, it'll be borage.

The ranunculus looks to be in an extremely small pot and possibly short of water.

I think the second plant might be alkanet. It looks a lot like foxglove when it first appears, but has small blue flowers. It seeds all over the place and grows to be quite large. Personally I don't mind it, but I do pull it up if it appears in an inconvenient place.

That's the one I was trying to think of, Melchisedec.....!

Thanks guys, several possibilities there on the second plant. I had wondered if it could be foxglove, but the leaves didn't seem quite right (not entirely sure why though). I think Melchisedec may have hit the nail on the head with Alkadet, the leaves seem about right on that. One way or another it will be in the way but I'll probably pot a few up and see what happens. Be easier to tell once it flowers.

As to the first flower. My nan had seen a drawing of a globe flower (it seems thats the common name for a trollius) and she thought that might be it. Just googled it but I think Ranunculus might be the one. I'll let nan know, when I see her.

Moon Growe. Thanks for the suggestion. Nan's usually pretty good on keeping on top of watering plants and this one was still in the house. Must admit I did wonder if she was over watering it.

Thanks for your help everyone, much appreciated :)