Hrm, that is strange. The thing is, unless you specify not to in the project, TestComplete doesn't ignore processes in the Windows environment. So, TaskHost may have been trying to do something that, with TestComplete "looking" at it, caused a failure.
If you go to Tools | Current Project Properties | Open Applications | Process Filter, you can specify TestComplete ignore certain system processes. Give this a try and see if it helps.
Sorry for the late reply, all. I took some time for Christmas. Robert's suggestion seems to have worked. I've not seen the issue since. Kudos.
