My immediate thought on seeing the basket was polveri by A Seguso. I haven't seen a basket quite that shape, where the handle is created by almost what looks like a hole through the piece, leaving a very thick handle. That's a little in the style of Fratelli Toso, who made many baskets. It's a very nice piece, whomever made it.
I can't make out enough detail in the second piece to comment, but I certainly can't see anything that would contradict what Anita says.
They both look like quality pieces, which reinforces my suspicion that Camer imported higher quality Murano than some of the other import companies.
David