Question: Which colony did the Colonial-style , historic , log house in Gibbstown , New Jersey first exist under ?

text: List of the oldest buildings in New Jersey
Colonial era

This article attempts to list the oldest extant buildings surviving in the state of New Jersey in the United States of America, including the oldest houses in New Jersey and any other surviving structures. Some dates are approximate and based upon dendochronology, architectural studies, and historical records. Sites on the list are generally from the First Period of American architecture or earlier. To be listed here a site must:
Building Place Year Purpose Notes
C. A. Nothnagle Log House Gibbstown 1638-43 c. 1638-43 Residence Purportedly the oldest surviving log house in the U.S. , once part of New Sweden , and the oldest house in NJ , and hence Gloucester County
Swedish Granary Hopewell Greenwich 1650/1780s  Relocated . Once part of New Sweden , purportedly the oldest surviving building of its type in the USA and likely oldest structure in Cumberland County Dendrochronology study from 2018 states a date in the 1780s
Sip Manor Jersey City Westfield 1666 Residence Originally part of Bergen , New Netherland , relocated in 1926 from Hudson County and now oldest building in Union County
Parker Homestead Little Silver 1667 Residence One of the oldest homes in Monmouth County
Old Mill at Tinton Falls Tinton Falls 1674 c. 1674 Mill
Obisquahassit Lower Penns Neck 1678 Residence Oldest house in Salem County Obisquahassit was the sachem who sold land to Anders Seneca , son of one of the first settlers to New Sweden who bought a large tract before Fenwick 's Colony was established
Nathaniel Bonnell House Elizabeth 1682 ( 1670 )  Oldest house in Elizabethtown , original capital of Province of New Jersey and oldest original building in Union County
6 West Pearl Street Penn 's Brew House Burlington 1682 Residence Oldest brewhouse in state
Aaron Dunn Homestead Woodbridge 1685 Residence Possibly the oldest house in Woodbridge and Middlesex County
Buckelew Mansion Jamesburg 1685 c. 1685 Residence One room in the house dates to 1685 c. 1685 , possibly oldest in Middlesex County . House was expanded , most recently in the 19th century , and is also known as Lakeview
Revell House Burlington 1685 Residence Oldest house in Burlington County
Chew-Powell House Gloucester Township 1688 Residence Oldest house in Camden County
Ladd 's Castle West Deptford 1688-90 c. 1688-90 Residence Home to the surveyor who assisted William Penn in planning Philadelphia
Hendrick Fisher House Franklin 1688 Residence Oldest structure in Somerset County substantially renovated in early 20th century , now owned by Ukrainian Orthodox Church of the USA
Newkirk House Jersey City 1690 c. 1690 Commercial Oldest building in Hudson County , originally built as homestead
Caesar Hoskins Log Cabin Mauricetown 1690 Residence Oldest house in Cumberland County
Robinson Plantation House Clark 1690 c. 1690 Residence
Coxe Hall Cottage Cold Spring 1691 Museum Oldest extant structure in Cape May County once part of complex belonging to Daniel Coxe . Relocated/reconstructed at Historic Cold Spring Village
Griffith Morgan House Pennsauken Township 1693 Residence
Jonathan Pyne House Cape May 1694 Residence Oldest house in Cape May County