The Rams were the fifth team of the free-agency era to finish with a 1-15 record. Three of the other four won at least seven games the following season. None selected a quarterback in the first round of the next draft.
Here's a quick look at how those four other 1-15 teams responded (I might expand on this down the road):
2007 Dolphins: Fired coach Cam Cameron after one season. Hired Tony Sparano. Used the first overall choice in the 2008 draft on tackle Jake Long. Signed veteran free-agent quarterback Chad Pennington from the Jets. Posted 11-5 record in 2008.
2001 Panthers: Fired coach George Seifert. Hired John Fox. Used second overall choice in 2002 draft for defensive end Julius Peppers. Signed veteran free-agent quarterback Rodney Peete from the Raiders. Posted 7-9 record in 2002, then signed Jake Delhomme before the 2003 season.
2000 Chargers: Traded first overall choice of 2001 draft to Falcons for package including the fifth pick, which San Diego used for LaDainian Tomlinson. Signed veteran quarterback Doug Flutie and used the first pick of the 2001 draft's second round for quarterback Drew Brees. Improved to 5-11 in 2001, then hired Marty Schottenheimer before the 20o2 season.
1996 Jets: Fired coach Rich Kotite. Hired Bill Parcells. Traded the first overall choice in the 1997 draft to the Rams, who drafted Orlando Pace. Traded the sixth overall choice (acquired from Rams) to Tampa Bay for a package including the eighth overall choice, which the Jets used for linebacker James Farrior. Stuck with veteran Neil O'Donnell at quarterback in 1997 (O'Donnell had missed the final 10 games of 1996). Improved to 9-7 in 1997.
Three of the four fired their head coaches. Three of the four signed veteran starting quarterbacks the next off season (the Jets already had one). Something to consider as the Rams decide how to acquire their next quarterback and how to proceed with the first overall choice of the draft.