Norwich Terrier Q&A
Norwich and Norfolk terriers used to be the same breed. Really it only matters of it's personality; every dog is different. But reletively they should be about the same. If i wanted a lap dog, i would suggest the Norwich terrier. But that's my opinion. It's your choice.
Norfolk Terriers can get jelous of other animals, But i'm not sure if that's the same with the Norwich, either.
Personally, I would go for a Norrich, but it is your choice