Had to check on this, but as I thought, both these alleged exceptions are false.
List of US recessions
Ike's last year in office there was a recession in '60 that went through to early '61 (i.e., as he left office in January, it was still on-going).
Carter's 1980 recession ended in July of that year, so the economy was in recovery for about two quarters as he left office.
Checking further, both Ford and Reagan were Republican presidents I believe (didn't look that up though! [img]/forums/images/%%GRAEMLIN_URL%%/crazy.gif[/img]), and both left office with no recession on-going at the time.
It may be silly to fact check political cartoon things, but there is no reason to put bad information out.