Head of Household Qualifying Clarification

I understand that to qualify for Head of Household filing, you much keep up a home for a qualifying person.  Two questions:

 

1) What if I maintain two homes?  Can my qualifying person live in either home (for more than half the year)?  or must the qualifying person live in the same home where I spend more than half the year myself?

 

2) Can I file as Head of Household as long as I have one dependent?  (even if the dependent did not live in a home I maintain for more than half the year)

 

Thank you.