Thank you, Stu, for your input.
I happened on the solution after following through with your suggestion above. I used the client on a Windows PC then, after logging on I clicked the "Options" on the VMwareView Client session bar and cleared check against "Autoconnect to this Desktop". We do have the option "Enable Auto Reconnect" set to false so I am unsure why that followed me.
But the good news is that it worked!