Cannot create a second accout, but seperate from my current account.

I did not have any problem creating a seperate account win Google.  I have deleted this account because I wanted a second account in Outlook (Hotmail).  FQAs do not discuss this problem.  No answer yet fom the Yahoo/Outlook forums.  I need to have a second identity for use with Facebook.  Because the new account with will give me a anonimity so I can access only those I want in my contacts.  I would greatly thank any user who can help me.  I can not set up a facebook with it.