First I wouldn't use the word Jewellery but instead Jewelry. Gems isn't jewelry it is just stones so unless your selling loose stones only I would avoid that. I would go with simple name like Blue Fox Jewelry and ignore painting in the name.

well daisy blue jewellery sounds like a girl who makes only blue jewellery try using daisy's pretty jewellery or something like that

I am starting a homemade jewellery business and I have done some thinking about a name a name. Can you give me your thoughts on these names?

-Brushes and Gems (I'd like to sell paintings at some point)

-Daisy Blue jewellery

-Painting Foxes

???