I was just reading that Chris Weinke had/has a record of 2-18. That seems pretty bad, but I wouldn't be surprised if there are others who have lower.
jay feely
joe Montana
Brady Quinn
Warren Moon, NFL quarterback between 1984-2000, fumbled 161 times during his career and holds the NFL record.
0-16
Lions
The Houston Texans, with a record of 2-14, had the worst season in the 2013 NFL regular season.
theisman
brett farve
Brett Favre
The NFL record for most rushing yards in a single season by a quarterback is 1,039, set by then Atlanta star Michael Vick during the 2006 season.
The Cleveland Browns had the worst record in the 1999 NFL season with a record of 2-14. The New Orleans Saints had the second worse record, finishing the season at 3-13.