It might be worthwhile knowing what I did wrong that caused you not to have the Edit button - I've always found it unsettling to have the Edit next to the Quote button, because it's so easy to push the wrong button.
If it's technically possible, I think it would be easier for all of us if we only saw the Quote button, and on the few occasions we need to edit someone else's post, to log into the Administrator's account to do so.