Have split up the cited reference so more easily legible, the relevant section gives this:
(XV.) Jacques des Marets, founder of the Demares family in England, was born in the year 1519, and the fact that he was a brother of Jean des Marets, born 1518, founder of the Marees or de Marez family in Holland, has never been doubted. He fled during the religious and political persecutions by the Inquisition and the House of Hapsburg in the Netherlands with his family to Norwich, in England. This probably occurred in 1567. He and his family belonged to the Walloon Reformed Church at Norwich. Jacques des Marets died at Norwich in 1604, the same year when his brother Jean died at Amsterdam. His wife was Antoinette Suceur. In a power-of-attorney issued by his widow and heirs in 1604, he is called as having died at the age of eighty-five. This document was in 1732 in hands of Jacques Joseph de Marez se Sancourt, in the Land of Cambray. From the above named document it appears that Jacques des Marets, of Norwich, England, and his wife, Antoinette Suceur, had three sons, namely: Francois, Pierre (who died before his father) and Jean, of whom Francois de Marets and Jean de Marets with their families were living at Norwich in 1604. An excellent account of "The Walloons and Their Church at Norwich" is furnished by the late vice-president of the Huguenot Society of London, W. J.C. Noens (1888).
(XVI.) Francois de Marets, or de Mares, as his name appears, was born about the year 1555. At Norwich he was a lieutenant of the Walloon Militia, a body to which the colonists were entitled. He probably lived the last years of his life at London, where most of his children are found registered in the French Church. Francois de Mares married twice. His first wife, Elisabeth Herbecq, died between 1601 and 1604. On December 24, 1604, he remarried at Norwich with Phebe du Rieu. Of the first marriage there were five, of the second, six children. Only the last child of the first and all the children of the second marriage were baptized in the Walloon Church of Norwich. On September 10, 1605, Francois de Mares transferred for himself and for his minor children, named Jacques, Jean, Elisabeth, Anna and Esther, represented by their guardians, Nicolas de Mares and Philip Carlier, to Jean de Mares, son of Nicolas, residing in the Land of Cambray, the fief of Cauroit, near Cambray, inherited by him from his father, Jacques de Mares, in 1604. Witnesses to this transaction were Nicolas de Mares and Louis de Mares, brothers. The children of Francois de Mares were: 1. Jacques, born about 1590 2. Jean, born about 1592 3. Elisabeth, born about 1598 4. Anna, born about 1598 5. Esther, born at Norwich and baptized there, May 24, 1600 Those of the second marriage were: 6. Daniel, baptized Dec. 8, 1605 7. Judith, baptized Jan. 4, 1607 8. Simon, baptized Aug. 28, 1608 9. Janne, baptized Aug. 26, 1610 10. Marie, baptized Aug. 11, 1612 11. Phebe, baptized Dec. 19, 1613
(XVII.) Jean desMarets m., possibly at or near Beauchamps, France, Margrieta deHerville, their son David was born about 1620 at or near Beauchamps, France. This begins the first generation of desMarets (Demarest) in America
This has nothing to do with Jacques Desmarets born in France who died in Paris before 1681, have therefore detached her from him. She's no relation of mine. And the last part about the ''first generation of desMarets in America'' is certainly not correct, there are as I said earlier 6 men of the name and variants known to come to Canada, New France, I have no idea how many may have gone to the English colonies.