Scrop was the son of Sir Adrian Scrope and Mary Carr, daughter of Sir Robert Carr, of Sleaford. He matriculated from Wadham College, Oxford, on 26 August 1664, being entered as a fellow-commoner on 3 September. He was created MA on 4 February 1667. On 16 January 1667 he was created a Baronet, of Cockerington in the County of Lincoln. Scrope came to London, and was soon numbered among the companions of Charles II and the wits "who wrote with ease". About November 1676 he was in love with Miss Fraser, lady-in-waiting to the Duchess of York; but her extravagance in dress—one of her costumes is said to have cost no less than £300—so frightened him that he changed his matrimonial intentions. In January of the next year Catharine Sedley quarrelled with him in the queen's drawing-room over some lampoon that she believed him to have written. Scrope fancied himself ridiculed as "the purblind knight" in Earl of Rochester'sAllusion to the Tenth Satire of the First Book of Horace, and attacked his rival in a very free and satirical poemin defence of satire, an imitation of Horace. Rochester retorted with a vigorous lampoon, which is printed in his works, and Scrope made in reply a very severe epigram. Many references to Scrope appeared in the satires of the period. He was a member of the "Green Ribbon Club", the great Whig club, which met at the King's Head tavern over against the Inner Temple Gate. In 1679 Scrope was living at the north end of the east side of Duke Street, St. James's, Westminster. and in August of the next year he was at Tunbridge Wells for his health, and with "a physician of his own". He is said to have died in November 1680, and to have been buried at St. Martin's-in-the-Fields; the baronetcy thereupon became extinct.
Family
Carr Scrope was eldest son of Sir Adrian Scrope of Cockerington, Lincolnshire, a Cavalier and knight of the Bath. His mother, Mary, daughter of Sir Robert Carr of Sleaford in the same county, died in 1685, and was noted in her day "for making sharp speeches and doing startling things".