You don’t come across a signed, Rosewood Alexander Roux bed for $2k that often (current price with no reserve). It’s not an overly grandiose bed in size or sophistication of design, but the carvings are exceptionally well done as would be expected of one of the best furniture makers in NY at the time. The padding on the headboard should likely be able to be removed and restored back to resembling original condition by an appropriate professional. Asking the current owner might give some more clues on why/when it got there.
More details at the listing and I’ve included some of the photos below.