Usually it's more people who get laid off start talking about it on Twitter, then the news media get wind of it and start talking with the laid off employees, and find some willing to describe in detail exactly what went down, send along a screenshot of the announcement email, etc.
If I got laid off I'd talk about it on Twitter too. That's a natural reaction for many people. You want to commiserate with others in the same situation and share useful unemployment and job-finding resources. Hell, a big layoff gets its own hashtag.