My thanks to the essential and high quality Strudwicke one name study website for the following research into Strudwick family members kindly provided by the Clothworkers Guild of the City of London.
Clothworkers Guild Archives [S0380]
Thomas, son of Robert Strudwick of the parish of Hempsford [sic] Sussex, yeoman, apprenticed for 7 years to Giles Townsend on 15 May 1629. He was made Free on 20 Dec 1638. He was promoted to the Livery on 17 August 1652. He was sworn as Quarter Warden on 2 November 1668. He was sworn as second Warden on 8 September 1671. He was Master 1688-9. He was present at the 16 September 1696 Court, but not thereafter. John, son of Robert Strudwick of Bookham, Surrey, Cook was apprenticed for 7 years to Tobias Marcum on 15 April 1646. He was made Free on 19 April 1654. He is not found on the Livery. William, son of Thomas, was made Free by Patrimony on 8 July 1667. He was promoted to the Livery on 12 August 1668. He is listed as a member of Court on 21 October 1687 - this was a very difficult time in the City and my predecessor suggests he may have been nominated by Royal Warrant - he should not have been on the Court until he had served as Quarter or Renter Warden. He was elected Quarter Warden on 7 August 1688 and sworn on 29 October 1688. He was sworn Upper Warden on 15 August 1694. He was at the 17 August 1698 Court but not thereafter and is not named on the 1702/3 list. John, son of Robert Strudwick, formerly of Kerford [Kirdford], Sussex, Gentleman, deceased was apprenticed for 8 years to William Strudwick on 7 November 1671. He was made Free on 5 September 1682. He was promoted to the Livery on 24 October 1690. Samuel Strudwick, son of Thomas Strudwick, Citizen and Clothworker was apprenticed to his father for 7 years on 29 October 1673 but no Freedom has been traced (searched to 1727). You may also be interested to learn that Thomas Strudwick is mentioned as one of the Trustees of Lady Campden's Charity in 1679. This detail is noted in R. Rowntree, 'Religious Devills of Hampstead'. Individually Respected, Collectively Reviled (Oxford, 2004) - a history of Roslyn Hill Unitarian Chapel, Hampstead. This suggests he was a Puritan/Presbyterian/Dissenter. A previous researcher on the Strudwick family noted that the family were Dissenters and that John Strudwick was associated with John Bunyan. According to this researcher, one of the biographies of Bunyan (not named in the letter, which was dated 1986), John Strudwick resided as the Sign of the Star in Snow Hill. He is also said to have married Phoebe Revell in 1692.