Hello Steve and Emmeline
I did some reasearch a little while ago into the Fleurets/Fleuriet/Fleuriots etc when I was researching the Alleaume family of Dieppe.
A Suzanne Fleuriet of Dieppe, daughter of Pierre Fleuriet and Marthe le Grand married a Salomon Aleaume son of Jacques Aleaume of Yenestenville, Normandy, and Madeleine le Yasseur in the French Church London on 10 October 1688.
She had joined the church a year earlier by 'reconnaissance' with two others:
"1 June 1687 Pierre Fleurier, of Dieppe, Suzanne Fleurier, spinster Jean Fleurier, young man."
A Pierre Fleuriet, also of Dieppe, maried Rachel Le Heupe 20 Aug 1699 at St Dunstan's Stepney. He was a silk weaver living in Pelham Street, Spitalfields, and was the grandfather of Tite/Titus Fleuriet, and great grandfather of Richard Fleuriet in Steve's original post.
Whether he was was Suzanne's brother and also then a child of Pierre Fleuriet and Marthe le Grand I do not know but it seems likely.
A Peter Fleuriot presented a petition for denisation in June 18 1701 with an Oliver Le Nouricier, , Jacob Hue and Michael Hue, stating that they were forced to quit their native country on account of their religion, and had given good testimony of their loyalty.
In 1705 a Peter Fleuriot, presumably the above man was naturalised. His papers describe him as a son of Peter Fleuriot, by Susanna his wife, born at Bolbec in France.
This above man I think would not be Steve's ancestor the Pierre/Peter from Dieppe, but instead Emmeline's ancestor Pierre/Peter who married Rebecca Hill at 4 Jan 1707 St Mary Magdalen, Old Fish Street, and had two children baptised at The Artillery Church, Spitalfields, (where he was an elder from 1708-10 and secretary 1710-13). The will you mentioned from 1713 refers to his sister Judith Mondon nee Fleuriot, and a Judith Fleuriot was married to a Daniel Mondon 26 January 1667 at the Lintot Temple which served the Bolbec protestants in Normandy, which seems to confirm this.
I realise this is now a very old query, and you may already have all this information but I thought I would add it anyway just in case.
There was also two other separate families by the same name, the first a Mathurin Fleuret, a wool carder from Maixent who was the first by the name to come to England joining the Threadneedle Street Church in winter 1680. He seems to have been an older gentleman and left no descendant lines as far as I can see.
Then later a Jean Fleuret and his wife Marie, who were originally from Clerac in South west France, joined the church in 1702. They had fled first to Holland and had been settled in Rotterdam before coming to London. The spelling of their surname seems much more fluid then the two Norman branches, Floret/Florry/Flauret/Fleuret/Fleuriet/Flouret, but unhelpfully they were also settled in Spitalfields as silk weavers in Quaker Street, so picking them apart in later records from the Norman family is not always that easy!
The two Norman families seem to have stopped using the French churches by the 1750's, which was fairly standard, though Richard Fleuriet did enroll his daughter Anne into the Westminster French Protestant Charity School as late as the 1790's. Her record shows she was baptised 18 Feb 1789 at St Mary's, Reading, Berkshire.
Richard himself, as you probably already know Steve, of course also later used the French Protestant community charities when he was an inmate of 'La Providence' the French Hospital from February 6th, 1836 until his death January 29th 1842.
Incidently I cannot find any evidence either any of them were ever involved in watch making, though a refugee family by the surname were settled in Switzerland using the French reform church there. Maybe they were linked to one of the London family and watch makers?
Regards
Richard