I made some charts about widgets and put them on a site called widget-charts.com. In just a few weeks I am #4 in Google serps and #1 in MS Search Live for 'widget charts'. Now I realize I have focussed way too narrowly.
I'm invisible for 'widget chart' and 'widget data' which would both be helpful to me. In fact, I now see that I would fit in just fine among the results for 'widget'. There is a site at #4 there that I completely surpass in every respect. 'widget' will get hundreds of times more searches than 'widget charts'.
How do I expand my perceived significance into the broader term?
Well as long as your site is about widgets, why not start by targetting the more frequent terms in your onsite optimisation (titles, meta tags, Hx's, density), and build some links using anchor text around the more common terms. That'd be a good place to start? ie <title>Widget Charts, data & chart statistics about Widgets & Widget information, LocationX, BroaderLocationY</title> (location stuff if you have a location based element to the prospective client base).
Sorry if that's a bit simplistic - but that's where I'd start. Have you done keyword research on the highest volume search terms in the widget industry? Wordtracker, Keyword Discovery - or Google/Overture for some free keyword analysis tools. There are lots of good free eBooks and resources around about onsite SEO and link building techniques to give you a process to follow. If you're only a few weeks in, you could consider starting again with widget-highervolumemorerelevantkeywordgoeshere.com if you can get it too...