I like this faucet so much - I am thinking I might change my choice! It's: Price Pfister Model #: T34-4TSS, and although I haven't priced search, the site I found it on it was only $133.10 !

"Worm tunnel" from GreenDesigns cracked me up, but ... I wasted several months of my life trying to make myself like the Cambria marble-look quartz patterns, and it seemed like the veining in theirs usually tended to look more parallel/one-directional rather than intersecting itself the way your photo does. BUT I didn't see THAT many full slabs, so could be totally wrong.

It looks like Daltile Vivify Spectra Blue: https://www.daltile.com/Product/Vivify?color=Spectra-Blue&shape=Stained%20Glass

A quility fixture has identifying marks cast into the body and often the mfgrs name under/inside handles and/or stems. You have the choice of dealing with better plumbers or taking fixture to a plumbing parts distributor. If you can take them to Dallas Tx,I can give you names but I don't keep up with places I don't service.