Hi Susie. None of us created the browser - you need to thank the Chromium team and Google for that!
What operating system are you using; Windows or Linux? It sounds like a strange problem, as windows normally stay where you put them. I'm on Windows Vista, and once I set a window position for an application, it opens in the same place next time. I don't use Linux, but I would guess that it behaves the same way.
Basically, what I'm saying is that I don't think it's Chrome which is at fault. Do any other applications do this on your PC, or just Chrome?