Your unknown rims ( wheels) appear to be Hayes 490 for Marmon 1926-1927 ( also from another source, some 1928 Durant 75), see first attached picture.
Catalog info shows 2 types of wheels originally on 1929 DeSoto. Kelsey-Hayes 689 and Clev Weld 25AB.
Your silver spare is clearly not a Clev Weld. I believe it is a Kelsey-Hayes 689 that has had the latch repaired with welded on sleeves to take a bolt that holds the ends of the rim aligned. Not an uncommon repair.
Hoping this is useful. Let me know if I can help further.