While doing research on my own HINSEY line, I came across the 1880 census for Cornelius (spelled Carnelus) Hinsey in Elm Grove, Tazwell, IL
Carnelus Hinsey b.1820 OH occupation: Farmer
mother b. Del father b. Del
Felicia Hinsey b. 1824 KY occupation: Keeps House
mother b. PA father b. KY
Clara Hinsey b. 1847 IL occupation: Dressmaker
Blanch Hinsey b. 1851 IL occupation: School Teacher
Maud Hinsey b. 1854 IL occupation: At home
Ella Hinsey b. 1860 IL occupation: School Teacher
I have marriage date for Cornelius Hinsey and Felitia Lantz:
11-08-1840 Tazewell, IL
The only other Delaware reference I have to Hinseys:
William Hinsey Jr. b. <1797> New Castle, Delaware d.<1835>
married 10-13-1827
Mary Haines b. 04-10-1810 Whiteside, Illinois d. <1847>

I have one reference to Elizabeth Crawford:
William Hinsey b. July 1770 d. Nov. 1839 Pekin, Tazewell, IL
married abt. 1800
Elizabeth Crawford b. Oct. 1780 d. Aug. 1869 Pekin, Tazewell, IL

Census:
William Hinsey 1800 Delaware, New Castle Co.
1807 Ohio, Butler Co.
1809 Ohio, Butler Co.
1810 Ohio, Butler Co.
1820 Ohio, Butler Co., Milford Twp.
1840 Ohio, Butler Co. Milford Twp.

Cornelius Hinsey 1809 Ohio, Butler Co.
1810 Ohio, Butler Co.
1820 Ohio, Butler Co.

I was researching John D. Hinsey, native of Lancaster Co., PA, spouse, Mariah. About 1840, with son, Jacob b. 1816, moved to Hamilton Co., OH, then to Montgomery Co., OH, then to Darke Co., OH . I have accumulated more marriages for HINSEY in Ohio and Illinois...let me know.
Good luck!