What does it mean if someone is watching the conversation?

It means they’re actually looking at the question page, but they’re not currently typing an answer (then they become “composing members”).

Oh-okay…It’s just that I’ve visited my first question a couple of times and it always said the above, so I was wondering…Thanks for you help!

If you’re on your own question page, the observing member is you.

Oops! Don’t I feel silly?

No need to feel silly, we were all new once. Welcome to Fluther!

Thanks, augustlan!