Hosting is one of the problem faced by the blogger many a times specially when he/she want that domain to be hosted as the top level domain.Rather than the wordpress supported or other services which provide sub-domain or sub-directory hosting.

I am going to cover some of the hosting servcies which can help you get the free blogs and that too allowing you with advertisement liberty.

Sitefrost.com : This is a pay for host program and you have to look for the best plan for your blog.They have different versions of them working and you have to select the best one.Follow here for plans http://sitefrost.com/pages.php?page=hostingplans

Thier smallest plan consists of 200 mb disk space and 2gb bandwidth for it you have to post three posts monthly.

Vlexo.com Go here http://www.vlexo.com/free.php : Again reliable with fast servers,needs no posting needs though they also have different plans support:

Alpha :  Data Storage 250MB  Need linkback

Platinum :            524MB  (ads Supported)
Titanium :            1024MB (ads Supported)