Is there any way to determine the printer's ip address
I can think of two ways:
1) Check the logs of your DHCP server to see what IP's it has handed out. If you don't have too many machines on your net, you can try them all until you find the right one
2) Run a scan to find what IP's on your network are listening on the printer port. Something like:
# nmap -sT -p631 your-ip-space
(Who is listening on TCP port 631)
Your IP space is what subnet you expect to find the printer on, like it might be 192.168.1.0/24