Hans wegner love seat- what is this wood  

Ouch. Hopefully no pieces lost. Looks like oak to me.

Yes, grain looks like oak.

Smoked oak perhaps?

Smoked oak,
I think it was a treatment using amonia that coloured the wood.
Seem to recall reading about the process some time ago.

The process was called fuming -- exposing the surfaces of wood furniture (typically, oak) to the fumes of ammonia.  I doubt that any production furniture made since the War (at least) has this finish.  A few makers of reproduction Stickley pieces might still  be using the process . . .
 
When legs are broken off, even when the pieces are saved, proper repair is difficult if not impossible -- certainly, invisible repair is out of the question.  New material of full length is indicated.  If this seating piece is to be repaired and then reupholstered, one would be better off starting from scratch -- it seems to me.

Carl Hansen has done this, post WWII, as an available finish on e.g. the Wishbone chair (Y-chair).  I had a couple of early specimens (1951-ish) with this finish.  It is very good looking.  And it still is an available finish in fact.  I believe Carl Hansen calls it "smoked oak."

Thanks everyone! I have an amazing furniture restorer who has taken on restoration project! Will post images when done.