1730; see trustee + -ship.
Such a word as trusteeship is eminently characteristic of the composite character of the language: Scandinavian trust + a French ending used in a manner unparalleled in French + an Old English ending. [Otto Jespersen, "Growth and Structure of the English Language"]
trunk
trunnion
truss
trust
trustee
trusteeship
trustful
trustworthy
trusty
truth
truthful
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