There is no way to do anything with that laptop with the power off, clearly it's not that laptop that is communicating.
What IP address are we talking about? Perhaps you're seeing a private IP address, which can be repeated many time all over the world.
IP addresses in these ranges can appear millions of times, but are normally never seen outside their private networks.
10.0.0.0 - 10.255.255.255
172.16.0.0 - 172.31.255.255
192.168.0.0 - 192.168.255.255
What IP address are we talking about? Perhaps you're seeing a private IP address, which can be repeated many time all over the world.
IP addresses in these ranges can appear millions of times, but are normally never seen outside their private networks.
10.0.0.0 - 10.255.255.255
172.16.0.0 - 172.31.255.255
192.168.0.0 - 192.168.255.255