Tabanus: There seems to be only one candidate:
1875: b. 16 April 1875 in Plano, Kendall, Illinois (exact date from family tree)
1893: lives in Evanston, Chicago, Illinois ("Prindle Arents LeGore")
1898: lives in Evanston, Chicago, Illinois ("Prindle Arents Legore")
1900: lives in Milwaukee City, Wisconsin. Book-Keeper
1902: marries 5 March 1902 to Irma Chapek
1902: applies 1 April 1902 at the US consulate in Hamburg, Germany for passport for going to Russia (together with Irma) to reside there as a bookkeeper for an American firm. Lives in Milwaukee, Wisconsin and is planning to return within two years (US Passport Appl. 1795-1925)
1903: leaves Hamburg 12 Dec 1903 together with Irma (Hamburg passenger list)
1904: lives in Milwaukee, Wisconsin ("Prindle Arento L spl agt"), together with Irma ("music-tchr") (city directory) (from now on, both cease to exist in the city directories)
1910: lives in Manhattan Ward 22, New York, with Irma (who is music teacher). Occupation: "Auto" (something, unreadable) (US Census)
1917: lives in Manhattan, New York, 123 West 72 St, with Irma. Is Auto Manager in the S. A. Miles company (WW 1 card)
1918: solves chess problems in Washington Post (17 & 24 Nov 1918, p. 24 & p. 35, "A. L. Prindle")
1920: lives in Manhattan Assembly District 7, NY, with teacher Irma. Occupation Manager Automobile show (US Census)
1922: a Mrs Irma Prindle lives in Milwaukee, "phone opr" (city directory) (this may not be her)
1935: lives in Chicago, Illinois
1940: lives in Chicago, Illinois, with Irma. Automobile Accountant (US Census)
1949: wife Irma dies in Marshfield, Wisconsin/WI. Obituary in The Milwaukee Journal, 8 Nov 1949: "Services for a woman musician who was a friend of Antonin Dvorak, the Bohemian composer, and who once toured the country as conductor of an all-redhaired women's orchestra ...". She had studied in Odessa and Prague, and "moved to Marshfield from Chicago 10 years ago". (Dvorak died in 1904)
1953: plays in US Open in Milwaukee, WI, "A. L Prindle" (Phony Benoni)
1962: d. 6 April 1962 in "Mars" (= Marshfield), Wood County, Wisconsin (WI Death Index)
---
Driving distance from Marshfield to Milwaukee is about 300 km. That's nothing for a 78-year-old widowed chess player. But I could be wrong..