Hello again Emmeline
There is a good 16 page article in Volume 15 of the Huguenot Society proceedings (1934) 'Huguenots in the Trained Bands of London and the Honourable Artillery Company' by Major G. Goold Walker. This gives a background to what they were and a list of Huguenots who were members.
There are two Duthoit(e)'s listed:
Peter Duthoite, Weaver in Spitalfields, Admitted to the Artillery Company 6 February 1741 to 1763. Lieutenant Red Trained Bands 1741-46, Captain Tower Hamlets Trained Band 1746-62.
James Duthoite, Baker, Wentworth Street, Admitted to the Artillery Company 13 June 1749 to 1763. Lieutenant Red Trained Bands 1749-55, Lieutenant 1755-62.
also a couple of Fleuriettes:
Peter Fleuriett, Fleurett, or Flearitt, Weaver, Pelham Street (Spitalfields), Admitted to the Artillery Company 6 April 1725, Sergeant Orange Trained Bands 1725. Re-entered in 1755 Sergeant Orange Trained Bands 1755-71.
John Fleurriette, Weaver, Old Nicol Street (Bethnal Green), Admitted to the Artillery Company 10 June 1755, Sergeant White Trained Bands 1755-59, Sergeant Orange Trained Bands 1763-71.