Question: David Kirke captured an area explored by Jacques Cartier, what was it called?

Context paragraphs:
Aneda: The evergreen aneda (spelled either this way or as annedda by different 16th- to 17th-century sources) was used by Jacques Cartier and his men as a remedy against scurvy in the winter of 1535–1536.  It is generally believed to have been "Thuja occidentalis", a common tree in Quebec also known as Arborvitae.  However, historian Jacques Mathieu has argued at length that aneda was more likely Abies balsamea, given that tree's role as a traditional remedy and given the much higher vitamin C content of its needles.  Samuel de Champlain, around 1608, was unable to find the remedy, and some have supposed that the Indians had lost their knowledge of it in the intervening 72 years.  However, a more common explanation is that the St. Lawrence Iroquoians whom Cartier met did not speak the same language as the Hurons or Iroquois living in the area at the time of Champlain, and so the term 'annedda' meant nothing to the latter group.

David Kirke: Sir David Kirke (c. 1597–1654) (a.k.a. David Ker) was an adventurer, colonizer and governor for the king of England.  He is best known for his successful capture of New France in 1629 during the Thirty Years' War and his subsequent governorship of lands in Newfoundland.  A favourite of Charles I of England, the fall of the Crown during the English Civil War led to Kirke's downfall.  It is believed he died in prison.

Donnacona: Chief Donnacona (died c. 1539 in France) was the chief of the village of Stadacona, located at the present site of Quebec City, Canada.  French explorer Jacques Cartier, concluding his second voyage to what is now Canada, returned to France with Donnacona.  Donnacona was treated well in France but died there.  Later Cartier would make a third voyage to the same area.

CMA CGM Jacques Cartier: CMA CGM Jacques Cartier is an Explorer class containership built for CMA CGM.  It was orniginally named after Chinese admiral and explorer Zheng He, but CMA CGM renamed it after French explorer Jacques Cartier.  Scheduled for delivery in April 2013, it is among the world's largest containerships, at 16,020 TEU.

Bref récit: Bref récit et succincte narration de la navigation faite en MDXXXV et MDXXXVI was a literary work published in 1545, which recounted Jacques Cartier’s second voyage to the St. Lawrence Valley region of North America and detailed his interactions with the local St. Lawrence Iroquoian peoples.  The book was more than likely written by Cartier’s secretary, Jehan Poullet.

Jacques Cartier Park: Jacques Cartier Park is a park in Gatineau, Quebec, across the river from the National Gallery of Canada in Ottawa.  It is named for French explorer Jacques Cartier, who arrived at the mouth of the Ottawa River while he was looking for the Northwest Passage.  The National Capital Commission (NCC) uses the site to run one of its popular annual events, Winterlude every February.  It is also a busy site on Canada Day, offering activities such as music and dance shows throughout the day, entertainment and activities for children, and demonstrations by the Canadian Forces SkyHawks parachute team.

Quebec Route 134: Route 134 is a highway in the province of Quebec, running from Candiac on the South Shore of the Saint Lawrence River to Montreal, crossing the river on Jacques Cartier Bridge.  On the South Shore, Route 134 is named Taschereau Boulevard ("boulevard Taschereau"), after the prominent Quebec family that included former premier Louis-Alexandre Taschereau.  From Jacques Cartier Bridge to the end of the highway at Sherbrooke Street (Quebec Route 138) in Montreal, the highway is a one-way pair formed by Papineau Avenue and De Lorimier Avenue.

Jacques Cartier: Jacques Cartier (Breton: "Jakez Karter" ; December 31, 1491September 1, 1557) was a Breton explorer who claimed what is now Canada for France.  Jacques Cartier was the first European to describe and map the Gulf of Saint Lawrence and the shores of the Saint Lawrence River, which he named "The Country of Canadas", after the Iroquois names for the two big settlements he saw at Stadacona (Quebec City) and at Hochelaga (Montreal Island).

New France: New France (French: "Nouvelle-France" ) was the area colonized by France in North America during a period beginning with the exploration of the Gulf of Saint Lawrence by Jacques Cartier in 1534 and ending with the cession of New France to Great Britain and Spain in 1763.

École secondaire Macdonald-Cartier: École secondaire Macdonald-Cartier, in Sudbury, Ontario, opened its doors in 1969.  École secondaire Macdonald-Cartier was the second public high school French language in Ontario to offer free education to all young francophones. The school is often referred to as Mack-Jack, even though the school wasn't named after Jacques Cartier.  The school was actually named after two of the fathers of Canadian Confederation, Sir John A. Macdonald (1815-1891) and Sir George-Étienne Cartier (1814-1873).

Supporting paragraphs: David Kirke New France
Answer: New France