Proper usage rules about weblog and blogging terms:
A weblog is the online, regularly updated presence of a person or group. Do not use 'blog'.
A blogger is a person who authors the weblog. Do not use 'webblogger'.
Blogging is what a blogger does when actively authoring for their weblog. Do not use 'webblogging'.
The totality of weblogs and weblogs as a community is known as the Blogosphere.
Ignore this information at your own peril.