I don’t know the age of this one - they’re never dated - so I cannot say I’m surprised people still carried watches on chains at this late date. If it was the 60s, I’m be surprised. The 20s? No.

Wikipedia: "The Ingersoll Watch Company is currently owned by Zeon Watches, a British subsidiary of the Hong Kong-based company Herald Group. The brand originated in the US."

Before you think “damned NAFTA,” they went bust in 1921 and were purchased by a British firm.