Is there a way to find out your friend's IP address from twitter?

[I iz smart]

ok so someone at my high school started a twitter account based on rumors. But they spread actual things that people don't want known. Things that only me and a group of about 20 people know. Me and one of my friends are the only two out of this group that hasn't been tweeted about yet. So of course we are the reasonable ones to blame. I know how to pinpoint a location using an IP address and know where all these people live. So if I find out the ip address I can prove my innocence and find out who is behind it. I just don't know how to find someones IP address. Is there a way? Or some other way to find out who it is?