I'm not on your server, So I can't help you with this in the way you want. However, I can tell you one of the easiest ways to get his ToD.
In the FFXI In-Game Config, Turn on all of your chat filters. Say, Shout, PT, Linkshell, Everything besides "System notices" or something close to that. Leave your character in the Morbolger room for ~24 Hrs. Come back, And the only things in the chat log will be Conquest Rankings and "Someplayer defeats Somemob."
Make sure you know when you left your computer (The best way to do this is to do a /echo of "/echo It's (Current time) at this point." and then, Find where it says "--- defeats Morbolger", And count Conquest Rankings between the time in the /echo, and the time it says that.
Conquest Rankings appear every 30 minutes. So, Count up by 30 Min. intervals until you figure out when the kill took place. You now have a 30 minute window for his ToD.
Hope this helps.