DBForums has forums for a couple of good candidates to address the needs that you've descirbed so far. Brilliant Database - dBforums
is higly recommended by some of the users here at DBForums, although it is nearly unknown in the computing industry at large. FileMaker - dBforums
is a great tool for Mac users, and has a reasonably functional PC implementation too. There are a number of powerful web front-ends provided by ISPs that drive powerful open-source databases, but you'll need to check with your ISP to see which packages and database engines they support.
Keep in mind that Google has control of everything that you put into Google Docs, so if they ever index it for search (by design or accident) then that information will be available to the world. This may or may not cause your company heartburn, but it would be better to consider it beforehand than have to deal with any consequences after the fact. There's nothing wrong with the tools that Google offers and I use them myself pretty heavily, but I also understand that they've made several significant changes to their user agreements over the years and I've never been comfortable placing business critical data in someone else's keeping without a solid contract describing conditions, permissions, terms, etc.