I changed the proxy setting for Chrome and got going again - in all browsers.

I still don't understand why one site in a multisite was having trouble, but at least I can work now.

From: Jamie Holly <hovercrafter@earthlink.net>

I highly recommend:

http://mayakron.altervista.org/wikibase/show.php?id=AcrylicHome

It's a DNS proxy for Windows (open source) that lets you create wildcard host entries as well as your own tlds. You can simply define:

127.0.0.1 *.local

And you're all set. Create any .local VirtualHost and it connects. Easy to install and saves countless headaches.