Early this morning is a BP2 leftover and nothing else.
There are quite a few such as "people talking"
BP2 was a full fledged double album and even 2.1 had a couple of extra tracks as well. He couldn't put EVERYTHING on BP2.
Also Jay has said that in terms of his method of remembering lines without writing them down he still forgets so many that there are multiple albums worth of lost Jay bars.
There are countless unreleased Jay tracks such as the Jay diss to Pac from 96, Jay's version of lookin at the front door, multiple Drake collaborations, whatever was going to be on the original bp3, the earlier versions of watch the throne etc.