It appears that William Faulk may have arrived in New York from St John on the ship Brig Ann Maria on 6 July 1824, per New York Passenger and Immigration Lists, 1820-1850.

In brief, William Faulk made many land purchases in the Michigan/Toledo strip, summarized here:
Oct 28, 1835, 40 acres, Washtenaw, Township 1-S, Range 4-E, Section 22
Apr 10, 1837, 40 acres, Washtenaw, Township 1-S, Range 4-E, Section 26
Aug 18, 1837, 49.78 acres, Livingston, Township 2-N, Range 3-E, Section 6
Aug 18, 1837, 80 acres, Ingham, Township 2-N, Range 2-E, Section 1
Nov 2, 1837, 40 acres, Livingston, Township 1-N, Range 3-E, Section 36
Jun 25, 1855, 40.28 acres, Washtenaw, Township 1-S, 3-E, Section 1

1840 Census William Faulk in Ingham, Michigan
1 male age 20 - 29 (William 20 through 28 depending on source)
1 female age 15 - 19 (Ann born Dec 1822)
1 female under age 5 (Margaret born Sep 29, 1839)

The 1850 and 1860 censuses indicate William Faulk was born in England.

Found in the 1850 census in Unadilla, Livingston Co., MI:
William Faulk 38, farmer, born in England
Ann Faulk 28, born in New York
Margaret Faulk 10, born in Michigan
John Faulk 9, born in Michigan
Mary Faulk 7, born in Michigan
Catharine Faulk 6, born in Michigan
Charlotte Faulk 4, born in Michigan
Catharine McKernan 21, born in New York
Asa Chalker 29, blacksmith, born in New York

Found in the 1860 census in Marion, Livingston Co., MI:
William Faulk 50, farmer, born in England
Ann Faulk 38, born in New York
John Faulk 19, born in Michigan
Mary Ann Faulk 17, born in Michigan
Catharine Faulk 15, born in Michigan
Charlotte Faulk 14, born in Michigan
Ellen Faulk 9, born in Michigan
William Faulk 7, born in Michigan
Philip Faulk 4, born in Michigan
James Faulk 1, born in Michigan

Michigan, Death Records, 1867-1950, William Faulk died 1 Sept 1869 in Marion, MI. He was 60 years of age and a widow at the time of his death. The record indicates that he was born in New York, was a farmer, and cause of death was heart disease.

Margaret Faulk Slider's death certificate indicates her parents were Wm Faulk and Mary McCurien. This record appears to mis-spell the last name McKernan. See her memorial at FAG 81555707, which is incorrectly connected to this mis-spelling. An edit request to connect to her correct mother has been denied.

John Quincy Faulk's death certificate indicates his parents were William Faulk and Ann McKernan.

Mary Ann Faulk McCarty's death certificate indicates her parents were Wm Faulk and Anna Mac Kernon.

Catherine Faulk Wilkins' death record indicates her parents were William and Anna Faulk.

Charlotte Faulk LaRowe's death certificate indicates her parents were William Faulk and Ann McKernan.

Eleanor Faulk Betterley's death certificate indicates her parents were Wm Faulk and Ann Mosse. Mossey was Ann's mother's maiden name.

William Henry Faulk's death certificate indicates his parents were Wm John Faulk and Ann McKernan.

Philip Faulk's death certificate indicates his parents were Wm. Faulk and Ann Kerman.

James Faulk's marriage record indicates his parents were Wm Faulk and Ann McKernan.

Lillian Faulk is buried with her parents. See headstone.