You can see the Chicago TY-1 here:
http://www.bunkerofdoom.com/xfm/CHICAGO1954/004.jpg
and the similarity to the Sylvania 100-0002 is very strong.
The data is here:
http://www.bunkerofdoom.com/xfm/CHICAGO1954/003.jpg
and the TY-1 is not cosine wound. It has an iron wire core just like the Sylvania. Not too surprising that focus was so touchy. Especially if they stretched the design to go from 53 degrees to 70 degrees.
John