Chevy
I may be reading this wrong, but this is what I think.
It looks like Boss is looking for a way to get this person out, although by giving them half a dozen or so tasks at yesterday's meeting is a strange way of doing it - unless this person is in a position where it would seem strange if someone else had been assigned those particular tasks? I would make a note of everything you do.
As for checking up on this person, say 'Boss has asked me to ask you where you are with X or Y project, is there anything causing problems or delays?' or something like that. That way this person sees that Boss has given you the authority to talk to him.
As for projects given to this person you know nothing about, unless Boss wants you to follow up on those too (in which case you need to ask him to tell you what they are!) keep away from those!

Jackie
www.iqps.org
Peer Moderator