do you have examples of common English words derived from Etruscan, via Latin presumably?

No, in a word. I can't think of any offhand nor do I know where to look. There would be a few, cultural terms taken into Latin.

The Pelican book The Etruscans is still valid, though it's decades old, as far as I'm aware. The chapter on language still applies. There was a long inscription on a bronze tablet deciphered last year, which added quite a few new words. All I can say is (a) do a Web search, and (b) DO NOT READ anything that says "amazing discoveries", or "startling new revelation", or says that Etruscan is connected wih Basque, Sumerian, Atlantis, Stonehenge, the Polynesians, or reptilian shape-changers. Seriously. Don't. There is NO KNOWN CONNEXION between Etruscan and any other language.

The kind of deep relation there might be between it and Indo-European is based on the personal pronouns being similar, and one or two other markers. The pronons won't be borrowings.

The numerals 'six' and 'seven' indicate cultural diffusion somehow: there are similarities in Indo-European, Basque, Semitic, Etruscan, and Turkic which are too close to be genetic, so must have dated from times when some of those cultures didn't have numerals that went that high, and borrowed them from another that did. Possibly Semitic into Indo-European, thence into the rest.