Aside for the fact that there was no way to know what I was installing, expecting that the Chrome website would know what was current, I checked this installation, and, not too surprisingly, it was v.15. And, it spent the past several days trying to find updates. I uninstalled it, and Secunia told me that I had removed both v.15 and 16.
I, just, downloaded Chrome, again from the website, installed it, and got same message about the profile.
I went, again, to About Google Chrome, and found that I had v.16, and the checking for updates gave me, immediately, the thumb up.
It seems ok now, but it keeps carrying on the same message about the profile. You can see that I am not overjoyed with Chrome's behavior. Is it coming or going?