Recognize this label? FM HJ or JH New Furniture  

Ah yes. Not very bright of me to use a Danish translator on German. I should've paid closer notice to the ö instead of an ø.

That makes more sense. The brochures do use "FM-" as a prefix for a few words like FM-Kvalitet, FM-mærket, FM-skinnen, FM-interiørs. 

Maybe they were inspired by McDonald's rise to prominence in the 50's and 60's, and decided to create their own version of McLabeling everything 🙂

Poking around Mobilia 1965 for something else, I came across this FM ad, which shows the company was still using the Feldballes Mobelfabrik name as late as 1965. Perhaps the company name never changed, but rather just the marketing to FM?