Burnand genealogy calls her Anne Susanne Jayet.
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_Samuel Jacob JAYET _|
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|--Anne Susanne JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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_Samuel Jacob JAYET _|
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|--Benigne Elizabeth JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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_Martin JAYET _______|
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|--Chrestienne JAYET
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______ JAYET ________|
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|--Daniel Humbert JAYET
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_Samuel Jacob JAYET _|
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|--Daniel Samuel JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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_Samuel Jacob JAYET _|
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|--Esther JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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(ID #I24018) 
Deacon at Château-d'Oex 1700, at Oron 1700-1701, at Lucens 1701-1702, schoolteacher at Moudon 1702-1705, deacon at Moudon 1705-1710, pastor at Avenches 1710-1722, and at Faoug 1722-1748.
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_Jaques JAYET _______|
| (.... - 1691) m 1661|
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|--François Daniel Philippe JAYET
| (1668 - 1748)
| _Pierre NICATY ______
| | m 1598
| _Gaspard NICATY _____|
| | m 1634 |
| | |_Philippaz PRAYE ____+
| | m 1598
|_Marguerite NICATY __|
m 1661 |
| _Jaques DUTOIT ______+
| | (1568 - 1644) m 1608
|_Catherine DUTOIT ___|
m 1634 |
|_Evaz _____ _________
(1590 - 1644) m 1608

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_Jaques JAYET _______|
| (.... - 1691) m 1661|
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_François Daniel Philippe JAYET _|
| (1668 - 1748) |
| | _Gaspard NICATY _____+
| | | m 1634
| |_Marguerite NICATY __|
| m 1661 |
| |_Catherine DUTOIT ___+
| m 1634
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|--François Louis JAYET
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|_Ursule Esther CORREVON _________|
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|_____________________
The baptismal record is somewhat unclear; it is possible that the name Nicolas was intended to be lined out.
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_Jean Pierre JAYET ___________|
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|--Guérard Philippe Nicolas JAYET
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|_Louise Dorothée CHAMPRENAUD _|
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(ID #I21423) 
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_Michel JAYET _______|
| (.... - 1644) |
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|--Jean JAYET
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_Martin JAYET _______|
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|--Jean JAYET
| (.... - 1598)
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_Samuel Jacob JAYET _|
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|--Jean Daniel JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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_Samuel Jacob JAYET _|
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|--Jean Pierre JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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_____________________
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_Jaques JAYET _______|
| (.... - 1691) m 1661|
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_Samuel JAYET ___________|
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| | _Gaspard NICATY _____+
| | | m 1634
| |_Marguerite NICATY __|
| m 1661 |
| |_Catherine DUTOIT ___+
| m 1634
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|--Jeanne Françoise JAYET
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|_Françoise Marie BONNET _|
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|_____________________|
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|_____________________

_____________________
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_Jaques JAYET _______|
| (.... - 1691) m 1661|
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_François Daniel Philippe JAYET _|
| (1668 - 1748) |
| | _Gaspard NICATY _____+
| | | m 1634
| |_Marguerite NICATY __|
| m 1661 |
| |_Catherine DUTOIT ___+
| m 1634
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|--Jeanne Françoise JAYET
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|_Ursule Esther CORREVON _________|
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______ JAYET ________|
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_Aimé JAYET _________|
| (.... - 1748) |
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|--Jeanne Marguerite JAYET
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|_Jeanne BESANÇON ____|
(1695 - 1749) |
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_Samuel Jacob JAYET _|
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|--Jeanne Marie (Rose) JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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______ JAYET ________|
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_Aimé JAYET _________|
| (.... - 1748) |
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|--Jeanne Susanne JAYET
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|_Jeanne BESANÇON ____|
(1695 - 1749) |
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_Samuel Jacob JAYET _|
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|--Josué JAYET
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|_Esther TACHERON ____|
(.... - 1707) |
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Protestant minister.