1st, I have no/show no /var/log/secure at all on either server. [Rechecking now] No. I show no /var/log/secure on either box.
2nd, /var/log/messages indeed shows my putty login ("PAM password auth succeeded for [user]"), but I see no originating IP address, such as is found in /var/log/auth on any Linux server.
Also, I want to be able to see, primarily, vSphere authentication info. I do not know if this would be located on my vCenter Windows server VM, or in some /var/log.
Again, vSphere has a place to setup a syslog server, and I'm wondering if that isn't the answer.