FWIW, if you are using a company computer and it is part of your job, *W does own it. When it is posted on the internet it gets a little more murky, but there has been plenty of case law that seems to always end up with the work product belonging to the employer, even if you do it of your own volition, as long as you're at work doing it.

Plus, in this case, there probably isn't a lot of value to you personally in owning the posts, so I wouldn't worry about it.

Congrats on being validated by Big Brother