NFL records - not sure how many games these teams played
37 Cincinnati/St. Louis, 1934
38 Cincinnati, 1933 Detroit, 1942
51 Pittsburgh, 1934 Philadelphia, 1936
google search picked this up for a 16 game schedule
1991 Colts (1-15)
A memorable season for Indianapolis -- the Colts set NFL records for fewest points (143) and fewest TDs (14) in a 16-game season.
Seeing as how we're on pace for 56 points, I think we have a shot.
A few years old, but worth a read: http://espn.go.com/page2/s/list/foot...ams/worst.html