Not sure this is possible option. My family use 3 different iphones and we all share contacts via icloud (of course). noticed Siri is asking my info, so we changed that into my wife's name on my wife's iphone5... then a few mins later it changes back to my name as I set it up on my macbook pro... Understand this belongs to one contact we all share hence there seems to be no way to have this "my info" per phone... but just to make sure my understanding is correct. It is really no way option to have "my info" per phone? Thanks.
MacBook Pro (17-inch Mid 2010), Mac OS X (10.6.4), AppTV (1G & 2G), iPad, iPh4S