Well here's what we did:
Cisco TAC came back and said no problems with the switches. OK. At my Police site, we split the users and server from the network onto a stand alone cisco switch. So they can't surf the net, but we will see if the server drops them on this switch. No phones, just PCs and the server and some printers.
Tuesday was quiet, so I ran around and wrote down what computers were on and what ones were off, and what devices were where, etc. So when Accounting started having fits, I called three users whos PCs were off yesterday, and one was on. I had them shut it off,and Accounting did not crash at all. Which raises the question:
Did the issue get resolved (if it is resloved) by splitting police server from the rest of the network (i.e. there is some problem with PD and Accounting and assoictaed network hardware getting along), or is there something with the one PC I shut off that is messing up my network. Oddly enough, yesterday the phone that this PC is connected to, was in a hung state, (it's a 7940), and someone had pressed the Directories button, and it was displaying directories, but totally non-responsive. You could not get out of that screen. I had to reset the phone.
I ran a virus and spyware check on this PC and it came back clean. I will try a test of turning the PC back on, and see what becomes of the network. We have had times where for a week, everything was fine, so I find it hard to believe that this PC was shut off for a week. (and there were no errors on the port that this phone/pc was on).
