Are you sure you don't mean the 1963 Championship game between the Giants and the Bears? I remember seeing that game and hoping Tittle would finally win a championship but it wasn't meant to be.
Tittle's knee was already injured and he twisted it again in the 2nd quarter. He couldn't plant his feet and his throws had no zip on them and he was picked off 5 times. They still had a chance to win that game as they were ahead until the 3rd quarter but Tittle kept getting picked off every time they got within range.
Y.A. (Yelberton Abraham) had an awesome year that season posting a 104.8 QB rating as well as setting the NFL record for most TD passes in a season with 36 (Blanda had thrown 36 in 1961 but that was in the AFL) which wasn't broken until 1984 when Dan Marino blew it away with 48.
This was the 3rd year in a row and the 6th in 8 years that the Giants were in the Championship game. They had a very well balanced team with a powerful offense and a dominating defense (courtesy of Tom Landry's innovations as their DC in the late 50s). The Bears were their typical tough, hard nosed, grind it out style that year, nosing out the Packers for the Western Conference title.
It was a very tough game with lots of big plays by both defenses but in the end the Bears defense got the better of Tittle and held on to win it.
I had become a football fan in late 1962 and a Cowboys fan in the pre-season of 1963 so this was the first championship game that I remember watching and really being excited about. I had watched the Championship game the year before when the Giants lost to the Packers (IMO the best Packers team ever) but had played them close in very cold weather in NY. I liked Tittle then even though he had lost and was looking for him to win it in 1963.
The picture of Tittle, kneeling on the field with his helmet off and blood from a cut on his head dripping down is one that has stayed with me all these years.