"Lycidas" l. 70 (1638). A 1619 play thought to be written by John Fletcher, Sir John van Olden Barnavelt act 1, sc. 1, refers to "the desire of glory (That last infirmity of noble minds)." That play was lost and not rediscovered until 1883, so Milton's parallel words were coincidental.
John Milton (1773). “The First Six Books of Milton's Paradise Lost: Rendered Into Grammatical Construction ... with Notes Grammatical, Geographical, Historical, Critical, and Explanatory. To which are Prefixed Remarks on Ellipsis and Transposition ...”, p.198
John Milton (1785). “Paradise Regain'd: A Poem, in Four Books. To which is Added Samson Agonistes: and Poems Upon Several Occasions. The Author John Milton. A New Edition. With Notes of Various Authors, by Thomas Newton, ...”, p.92
John Milton, James BUCHANAN (Grammarian.) (1773). “The First Six Books of Milton's Paradise Lost, Rendered Into Grammatical Construction ... With Notes ... To which are Prefixed Remarks on Ellipsis and Transposition ... By J. Buchanan”, p.262
John Milton, Henry John Todd (1852). “The Poetical Works of John Milton: With Notes of Various Authors; and with Some Account of the Life and Writings of Milton, Derived Principally from Original Documents in Her Majesty's State-paper Office”, p.284
John Milton, Henry John Todd (1809). “The Poetical Works of John Milton,: With Notes of Various Authors. To which are Added Illustrations, and Some Account of the Life and Writings of Milton,”, p.413