I have a similar three-section harrow that I've nearly finished restoring. As such, I've been doing some research on McCormick-Deering harrows:
Looks like you have a two-section channel-bar harrow. According to page 345 of the TM-3 tillage machines parts manuals, the two-section channel bar harrows were made from 1905 to 1948. IH also made pipe-bar harrows with round pipes that the teeth attached to instead of flat bars. Pipe bar harrows were made until 1957.
Two-section harrows were made in 15, 17, and 23-tooth sizes, and could be expanded by adding 8 or 12-tooth center sections up to 5 or 6 total sections. Early drawbars were essentially wood 2x6 beams with hooks to each section and a clevis for attaching to either a horse-drawn evener or tractor hitch. After 1951, round metal pipe drawbars were an option as well. Another popular option was a sulky attachment for riding along behind a team of horses so you wouldn't have to walk along behind the harrow. Interestingly, the owners manual I found from the early 50's recommends moving the adjustment lever to the front of the tooth tie bar when pulling the harrow behind a tractor.
If you're interested in painting it, the IH Paint Committee decisions indicate that the paint scheme for spring tooth harrows made after 1928 was: Harvester Blue frames, Black spring teeth, and Ochre (yellow) wood drawbars. Harrows made before 1928 may have been painted other colors, including red and green. Not sure when yours was made without looking at part numbers.
Edit: I remembered that there is a 1944 manual for this harrow on the resources page, you can view once you have 10 posts:
https://farmallcub.com/community/resources/two-section-spring-tooth-harrow-6-29-44.262/