Question: In which century was this colonial province established where Anthony Colve served as Dutch naval captain and the Director-General?

Context paragraphs:
Kew Letters: The Kew Letters (also known as the Circular Note of Kew) were a number of letters, written by stadtholder William V, Prince of Orange between 30 January and 8 February 1795 from the "Dutch House" at Kew Palace, where he temporarily stayed after his flight to England on 18 January 1795.  The letters were written in his capacity of Captain-general of the Dutch Republic to the civil and military authorities in the provinces of Zeeland and Friesland (that had not yet capitulated at the time), to the officers commanding Dutch naval vessels in British harbours and to Dutch colonial governors.  It urged them to continue resistance in cooperation with Great Britain against the armed forces of the French Republic that had invaded the Dutch Republic and forced him to flee to England.  In particular the letters to the colonial governors played an important role, because they ordered them to surrender those colonies to the British "for safekeeping".

Carlos Alberto Taylhardat: Carlos Alberto Taylhardat (Maracay, June 6, 1921, – Caracas, November 21, 2011), was a Venezuelan naval captain and diplomat.  He was the son of Carlos Albert Taylhardat a Venezuelan lawyer.  He trained in military school in Italy, until 1942.  He was a naval captain in Venezuela for 30 years, and the ambassador of Venezuela to Beirut, Lebanon and Baghdad, Iraq in 1990 to 1994.

Tang Fu: Tang Fu was a Chinese inventor, engineer, and naval captain who lived during the Song dynasty.  Although he did not invent the fire arrow, an early form of gunpowder rocket, he is credited as having invented "a rocket of a new style having a head of iron."  According to William Alexander Parsons Martin, this invention represents a "transition from signal rockets to firearms, properly so called."  This happened in 1000 AD, while Tang Fu served as a naval captain.  His name is mentioned in the Chinese texts, the "History of Song" or "Songshi" and the "Ko Chieh Ching Yuan" or "The Mirror of Research".  In the "History of Song", he is said to have "presented his fire arrows, fire balls and grenades."

New Holland (Acadia): New Holland (Nova Hollandia) was a colony established by Dutch naval captain Jurriaen Aernoutsz upon seizing the capital of Acadia, Fort Pentagouet in Penobscot Bay (present day Castine, Maine), and several other Acadian villages during the Franco-Dutch War.  The Dutch imprisoned the Governor of Acadia Jacques de Chambly.  The French and native allies under the command of St. Castin regained control of the area the following year in 1675, however, a year later the Dutch West India Company appointed Cornelis Steenwijck, a Dutch merchant in New York, governor of the "coasts and countries of Nova Scotia and Acadie."  The formal Dutch claim to Acadia (1676) was finally abandoned at the end of the war with the Treaty of Nijmegen in 1678.

Province of New Hampshire: The Province of New Hampshire was a colony of England and later a British province in North America.  The name was first given in 1629 to the territory between the Merrimack and Piscataqua rivers on the eastern coast of North America, and was named after the county of Hampshire in southern England by Captain John Mason, its first named proprietor.  In 1776 the province established an independent state and government, the State of New Hampshire, and joined with twelve other colonies to form the United States.

HMS Nonsuch (1668): HMS "Nonsuch" was a 36-gun fifth rate of the Royal Navy.  She was an experimental fast-sailing design, built by the renowned shipwright Anthony Deane according to proposals by the Dutch naval officer Laurens van Heemskirk, who became her first captain.  She was launched in December 1668, and commissioned the same day under van Heemskirk.  In 1669 she was reclassed as a 42-gun Fourth rate, being commanded from 9 April by Captain Sir John Holmes.  She was to spend most of her career in the Mediterranean.  She was for a time based on Tangier, and was commanded by a succession of accomplished commanders who subsequently rose to flag rank in the Navy, including George Rooke from 1677 to 1680, then briefly under Cloudesley Shovell, and then Francis Wheler from 1680 to 1681.  Under Wheler's command, she participated on 9 April 1681 in the capture of the Algerine 46-gun "Golden Horse", along with the Fourth rate "Adventure".

New Netherland: New Netherland (Dutch: "Nieuw Nederland" ) was a 17th-century colonial province of the Seven United Netherlands that was located on the East Coast of North America.  The claimed territories extended from the Delmarva Peninsula to extreme southwestern Cape Cod, while the more limited settled areas are now part of the Mid-Atlantic States of New York, New Jersey, Delaware, and Connecticut, with small outposts in Pennsylvania and Rhode Island.

Roemer Vlacq (1637-1703): Roemer Vlacq (Gouda, baptised 19 August 1637 – Toulon, 17 July 1703) was a Dutch naval captain, who blew up his ship to keep it out of enemy hands.

Johan Carel Marinus Warnsinck: J.C.M. Warnsinck (11 November 1882, Hoogwoud, North Holland - 21 July 1943, The Hague) was a Dutch naval officer and naval historian.  Johan Carel Marinus Warnsinck was the son of the notary Cornelis Warnsinck and his wife, Tettje Halbertsma.  He entered the Royal Naval Academy at Den Helder in 1899 and was commissioned an officer in the Royal Netherlands Navy in 1903, eventually rising to the rank of captain in 1930.  In 1919, he married Catarina Elisabeth Delprat and they had one son and a daughter.  He saw naval service in the East and West Indies as well as in European waters.  In the Royal Netherlands Navy, he was a hydrographic specialist.  From about 1920, he began to be interested in naval history and began with a special interest in the three Anglo-Dutch wars (1652-1674).  He retired from active service in 1932 and devoted the remainder of his life to the study of Dutch maritime history.

Anthony Colve: Anthony or Anthonij Colve (fl.1667-1695) was a Dutch naval captain and the Director-General of New Netherland during a brief restoration of Dutch rule in New Netherland (roughly present-day New York and New Jersey).

Supporting paragraphs: Anthony Colve New Netherland
Answer: 17th-century