From Grandma descended from his son Daniel:

Captain Jeremiah Collins
born and reared in France
came with Lafayette's troops to fight in our War of Independence. He stayed to settle in U.S.
d: 1839.

Son:
Daniel Collins
b: 3 Sept 1808

married: 1830

Nancy Penny
b: 1830

Jeremiah Daniel Collins (grandson, -> Daniel -> Captain Jeremiah)
b:1831 Miami County Ohio
d: 1905 Pontiac Livingston Illinois.

married1: five children
Eliza Jeanette Turner
b: England 1835
d: 1872 LaSalle County Illinois

married2: four children
Rachel Mahala Wilkerson (my ancestor)
b: Boonesboro Boone Kentucky
d: Pointac Livingston Illinois

From a 1/2 cousin of Grandma (both descendents of Daniel's son, Jeremiah):

Captain Jeremiah went to Darke County Ohio after the war and "opened a farm". Lived there until he died.

There were at least 3 children: Daniel, William and Polly.