I tried to go through the proper channels, but I'm afraid that has ultimately failed, so as a last resort, I'm just going public with this information.
This is Roy Schalk's baseball reference page. He is not Ray Schalk, even though the picture shown is actually of Ray Schalk. To my knowledge, these two players aren't even related. Ray Schalk was a Hall of Fame catcher who played from 1912 until 1929. The first seventeen of those years were with the White Sox. The last year was spent with the New York Giants.
Roy Schalk played with the New York Yankees in 1932. His next shot at the majors came with the White Sox in 1944 and 1945. Roy Schalk was a second baseman and occasional shortstop.
This 1936 card of Roy Schalk is an error. You can even see (Ray) listed under Roy's name in the PSA description. The card was actually supposed to be Ray Schalk, but was misspelled "Roy". Therein lies decades of confusion.
Below is an actual picture of Roy Schalk, with the White Sox in either 1944 or 1945. These two players could not look any different.
I e-mailed baseball-reference.com and got a basic reply saying that it would be looked into. Nothing has happened in several months, so I took it upon myself to point out the correction. It may not mean much to the average visitor to the site, but that doesn't mean that it should go uncorrected. Every player deserves the same type of treatment, whether he played one game or thousands.
If it seems like I'm stepping on toes, I'm not trying to. I'm a stickler for detail when it comes to baseball related items. I would expect that website would be the epitome of stickler-ish detail.
Now you know. And yes, knowing is half the battle.