Beautiful Save Brother ! That missing seat can be re caned for sure( especially out your way). You might want to bring it to an
Amish Community - they keep alive a knowledge of rare hand crafted work like that .
(There is an aggressive collector market for certain antique children's furniture )
Wow! I would take that to an antique dealer and get it appraised to include details on it. Is there a maker's mark/name on it? What idiot would pitch that? I've never seen one like that.
That type of seat is relatively easy to re-do, as it's not the type that gets woven piece by piece. You buy pre-woven cane webbing and the spline that gets tapped in around the edge.