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Hi David -- thank you for posting to History Hub!
The current constitutional amendment process charges the Archivist of the United States with administrating the ratification process. However, it was the Secretary of State who performed these duties until 1950. Then it switched to the Administrator of General Services until the National Archives assumed responsibility as an independent agency in 1985.
The U.S. House of Representatives and the U.S. Senate voted on May 21 and June 4, 1919, respectively, to pass H.J. Res. 1 -- "Proposing an amendment to the Constitution extending the right of suffrage to women." Once the joint resolution was enrolled, it was sent to the states for ratification via the Secretary of State. According to the Statute at Large (41 Stat 362), it was deposited in the Department of State on June 5, 1919.
I see the numbers you're referring to printed in the legislative journals of various states who received H.J. Res. 1 for ratification -- for example, in the printed journals of Texas, Iowa (p. 11), Utah (p. 9), and Washington. But I don't see these numbers in the Congressional Record or in the U.S. House or U.S. Senate journals.
Given this, I'd guess this is purely a Department of State number, maybe something regularly assigned to official external communications? I'd recommend contacting an archivist familiar with the records of the Department of State. There's a portal on the NARA website for State Department records or you can also email firstname.lastname@example.org.