I can't find their marriage either unfortunately.
Nevertheless given the French Hospital entry it is possible to track the family fairly well.
John/Jean Vautier, the foreign master weaver, first appears in London on 15 January 1699/1700 when he married his wife Jeanne/Jane Larchevesque at St Dunstan's Parish Church, Stepney. He joined the Threadneedle Street French Huguenot Church officialy at the next big ceremony on 26 May 1700, with a testimony from Jacques Pigne. Jacques Pigne was originally from Luneray, just outside Dieppe, in Normandy, and had joined the church 7 years previous with a testimony from a member of the Duboc family, also of Luneray. (They were featured as ancestors of the actress Julia Sawalha in a 2006 edition of BBC Who Do You Think You Are).
This leads me to believe that the Vautiers were also of Luneray, and there is some evidence that like the Dubocs they were, and originally first part of the Huguenot congregation in Canterbury, Kent, before moving to London. Once in London John Vautiers closest business partner seems to have been Jacob Lardant. The Lardants, Larchevesque, Pigne's and Vautiers are four of eight families specifically mentioned in a list of Londons Huguenot Weavers, who originated in Luneray, in Irene Scoulodi's 1985 book "Huguenots in Britain and their French background, 1550-1800".
The online database of the registers of the Huguenot Temple of Luneray seems to confirm their close links, just a couple of examples, a Jean Vaultier marries a Jeanne Pigne there on 11 July 1632. A Jean Vautier, son of David Vautier and Madeliene Lardant, was baptised there 13 November 1667. The surnames appear many times, often linked.
In the list of Protestants who abjured the 'Heresies of Calvin' (doubtless under extreme duress) in Luneray there are Pierre Vautier, Jean Vautier and Suzanne Vautier, all children of Nicholas Vaultier and Susanne Michel, on 28 November 1685, about a month after Louis XIV revoked the Edit of Nantes, stripping Protestants of any civil status, and outlawing the practise of their religion. That Jean might possibly be the one who turned up in London.
In any case, returning to London, after their marriage, John Vaultier and Jane Larchevesque had the following four children baptised at the Threadneedle Street Church
Elizabeth Vaultier, baptised 20 May 1700, of Paternoster Row, Spitalfields, Stepney, godparents Jacques Pigne and Elizabeth L'Heureux
Judith Vautier, baptised 17 Jan 1703, of St John Street, Bethnal Green Hamlet, Stepney, godparents Jean Vautier and Judith Larchevesque
Jacob Vautier, baptised 9 Apr 1705, of Dorset Street, Spitalfields, Stepney, godparents Jacob Lardant and Madelaine Vaultier.
Jean Vautier, baptised 27 June 1709, godparents Jean Pigne and Elizabeth Pigne.
For first two decades or so, John operated independantly and outside of the Weavers Company, but as you know eventually joined their ranks in 1722 , on November 26th, as a foreign born master weaver, on afferdavit of service from Isaac Larchevesque. The same day he had his 17 year old son Jacob Vautier officially bound in service to him as his apprentice.
Jacob and his elder sister Judith had both been inducted, as full adult members, into the congregation of Threadneedle Street French Huguenot Church, a few months earlier the same year, 1 Aug 1722, on the testimony of their father.
Jacob went on to marry Marie Hiquet (down in English records as Mary Hakey) when he was 27 years of age, on 31 August 1732, at the same church his parents had married, St Dunstan's in Stepney (which was, in any case, still the parish church for Bethnal Green until 1743)
Their son Jacob Vautier was born 14 January 1736, and baptised 8 February 1736 at Threadneedle Street French Huguenot, and he is likely the same person who as an adult married Elizabeth, and was father to 1775 Jacob, your ancestor.
