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Douglas Harper's Etymology Dictionary
saddle-tree

"framework of a saddle," early 15c., from saddle (n.) + tree (n.) in the "wood" sense.

Wiktionary
saddle-tree

n. 1 (alternative spelling of saddle tree English) 2 (alternative spelling of saddletree English)

Usage examples of "saddle-tree".

But the hard saddle-tree had hit him plumb in the belly with the weight of a big horse falling at thirty miles an hour behind it.