in 1908, (the original) Francis, Day & Hunter Ltd. entered into a partnership with American publishers T. B. Harms to form T. B. Harms & Francis, Day & Hunter, Inc. (two-thirds/one-third share respectively). Fred Day pulled out of the partnership in 1920, after which the American company renamed itself Harms, Inc. in 1921. (not clear what happened to Francis, Day & Hunter thereafter) — wikipedia source
evidently, following the creation of Harms, Inc. in 1921, Francis, Day & Hunter Ltd. was re-incorporated on 11 February 1925: https://beta.companieshouse.gov.uk/company/00203742
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