lat9,
Thanks for your attention. I've never (ashamed to say) even looked at the Configuration > Sessions module. The settings for both domains are identical (save the Session Directory, of course), as follows:
Session Directory: [path from home to]/catalog/cache
Cookie Domain: True
Force Cookie Use: False
Check SSL Session ID: False
Check User Agent: False
Check IP Address: False
Prevent Spider Sessions: True
Recreate Session: True
IP to Host Conversion Status: True
Use root path for cookie path: False
Add period prefix to cookie domain: True
In my original post, I forgot to mention this bit of information, which may or may not be important: After I enter my login information twice to initially gain access to my Admin panels, I don't have to do so for subsequent logins after getting 15-minute boots from the server. That is, if I get disconnected from my Admin panels after 15 minutes of server inactivity, I only need enter my login information once to reconnect to the Admin panels.
Thanks again for looking at this issue.
Ken Baker