Weblogs.us used to be a free blog hosting service. However due to popular demand, as one might expect, they had to stop accepting new blogs.
"We aren’t planning on accepting new Weblogs.us users anytime soon because we want to make sure our current bloggers have good performance. Since Weblogs.us is free and volunteer based we can’t take on additional users right now. Sorry!
The other company called Blogthing lets you do that as long as you allow them to use unobtrusive text ads to support their service.