Does my name appear when…

Hi. I’m hoping some smart person can answer this question:

First let me say that I use my original email address with Windows Live Messenger. This email address includes my first & last name with each email I send. Here is my question:

If I am in Messenger, annd I send an IM to a cell phone, is my email address and full name displayed on the cell phone? In Messenger, I only have my first name displayed, is that what others will see, or will they see my full name from my email settings?

Please help.

Thanks!