Thank you so much for replying! No, actually, the notifications were happening all the time after startup, sometimes as often as once an hour. BUT, here's the good news. I did a search on the issue and found out that these notifications can be changed by going to Control Panel, System and Maintenance, and unchecking the firewall and virus boxes. Just going to system settings from the taskbar notifications area will not change what needs to be changed. On one forum it said that hackers can change registry settings to turn off firewall and virus progs and this notification about firewall and virus settings was done by Microsoft in an attempt to warn you if that was the case but alas they have screwed it up, because if your antivirus and firewall *are* on and working, there should be no notification at all.
Thank you for your help.