If I understand what you are asking, you have an IP address that you are trying to determine which computer was using it at a particular date and time. Right?
Is the address in one of these ranges?
10.0.0.0 -- 10.255.255.255
172.16.0.0 -- 172.31.255.255
192.168.0.0 -- 192.168.255.255
If it is, then it is an internal address. That is, it is assigned by some router (or possibly by some person) and it gets translated to an external address when accessing the internet. In your case, it makes your job much easier because it probably means the computer is within the building.
Otherwise, you may be able to get a little information by typing it into
DomainTools reverse IP or similar sites.
You could also type it into the
Quick Search box at
BotScout to see if someone is using it to run a
bot network script.
Lastly, note that most IP addresses are dynamically assigned these days. That means whoever had that address yesterday may not have it today.