William "Red" McElligott
1935-36 St. Viator College (College)
1936-37 St. Viator College (College)
1937-38 St. Viator College (College)
1938-39 Hammond Ciesar All-Americans (NBL)
Originally listed in many places as Robert McElliott, I found through old newspaper reports and St Viator newletters and yearbooks that the player at St Viator from 1936-1938 was William "Red" McElligott. So who is this Robert McElliott (1915-1975) and why was he given credit for the basketball player? May never know, but I am certain the man who played for Hammond was Red McElligott.
I found a William P. McElligot who died in Chicago in 1997. A good possibility.
There's also William I. McElligot, who lived in Lake County (hammond)
Or (although this makes him quite old for college)
His name appears as "McElligot" in the Feb 20, 1939 Oshkosh Daily Northwestern
Vidette Messenger, January 8, 1936