These are mostly Remington typewriter desks and chairs,
made by the Moon Desk Company of Muskegon, Michigan,
which also marketed this furniture under its own name
(in the Moon illustrations, there are also Olivers
and other brands).
Original Moon typewriter desks today fetch as much as $US1500-$US2000:
At Chris Wolak's Wildmoo Books blog ("Home of the 2012 Willa Cather Novel Reading Challenge) there are images of a typewriter desk at the home of writer Bess Streeter Aldrich in Elmwood, Nebraska: