Newsflash, DUmmies--they check names. My first job after I got out of the Navy was in a shithole company down in Irvine, and I left at the end of my "probationary" period. I was working at another job several months later when I get a phone call. It was a recruiting agency calling for the company I had previously left. I told them I was a former employee of theirs and that I wasn't interested, thanks all the same...
And in a bit of schadenfreude, they closed down about a year later. Sucks for them.