ok quick twitter tutorial
If you follow someone (even if they aren't following you) and they do RT @myscreenname blah blah...you can see that. Anyone following that person who did the RT can see it.
If they do just @myscreenname and your not following myscreenname then no it wouldn't show on your twitter page.
IF you go to someone's twitter page YES you can see who they @ at.
HOWEVER if your page is locked or "tweets are protected" (like mine) you can't see what the heck I tweet or to whom.
People who follow me (a few of you) and follow Doug would have seen it on your twitter feed (whatever that might be-tweetdeck, web, twirl, tweetie) like a conversation.
As for the grammar issue on twitter, sometimes you have to be crafty to get something in 140 characters! lol
The crap that annoys me are the people who post nothing but FML tweets. I feel like people think of twitter as a free form of therapy to people who really don't know you or really care.