So my question is what does the crawler see as the title tag? The full database description that shows up on the browser bar, or just the "company store" that's in the actual source code?
The title tag tells search engines the title of the page, which may be different from the headline that appears on the page. You can change the title to simplify the phrase and make it easier for search engine crawlers to read and understand. The title tag is included in the code of your page.
It's a meta tag, encased by <title> in your page's HTML code. The title tag has been designated "the absolute most significant on-page SEO component", and "the most significant on page SEO factor". Here's the manner by which Google sees your title tag: Google sees your whole title, yet just 65 characters issue.