This data base record matches the census record I posted above; the names of the children are the same.
Name: William Car COX
Birth: 2 AUG 1818 in Bucks County, Pennsylvania
Death: 17 JAN 1901
According to the military pension file of Aaron Cox, these dates of birth and death of William, Rebecca, Aaron, and John were in a Bible sent to him by his half-sister, Mrs. Milton B. Hannan of 61 Pioneer St., Dayton, Ohio. The Bible was very old and bore the date "1823" and "Stereotyped by D. & G. Bruce, Philadelphia, PA.
Newspaper obituary of William Cox ( a copy without a date or newspaper name, sent to me in 1982 by Joseph H. Vance of Lombard, Illinois)
OBITUARY--- William Cox was born in Bucks Co., Penn., Aug.2, 1818. He came to Ohio with his parents when about 18 years of age, and settled in Warren County. At an early age he joined the Christian church, later the Methodist church, and in 1866, when moving to Pyrmont, he became a member of the U.B. church. In 1890, he, with his family, moved to Salem (now Clayton, Ohio) and joined the U. B. church at this place and proved a faithful worker until his death. He was united in marriage to Elizabeth Riley July 1, 1849. To them were born five children, namely, Richard Cox of Pyrmont; Emma Cox of Dayton; Alfred and Harrison Cox of Lewisburg; and Mrs. M.B. Hannan of Dayton. One year ago last July they, with their children, grandchildren, neighbors, and friends, celebrated their Golden wedding. After a brief illness, he died Jan. 17, 1901, aged 82 years, 5 months, and 15 days. He leaves a devoted wife, three sons, two daughters, three brothers, three sisters, twelve grandchildren, and two great-grandchildren. He also leaves a son in the West by his former wife. Funeral services were held Saturday in the U.B. church, and interment in the Pyrmont cemetery.
Father: Aaron COX
Marriage 1 Rebecca Ann BREWSTER b: 29 MAR 1823
Married: 3 MAR 1842
Aaron COX b: 16 MAY 1843 in Wilmington, Ohio
John B. COX b: 2 AUG 1845
Marriage 2 Elizabeth RILEY b: 18 MAR 1822 in Warren County, Ohio
Married: 1 JUL 1849
Richard H. COX b: 24 OCT 1852 in Warren County, Ohio
Alfred N. COX b: 18 AUG 1854 in Warren County, Ohio
Mary Emeline COX b: 4 DEC 1856 in Warren County, Ohio
William Harrison COX b: 20 JAN 1859 in Green County, Ohio
Sarah Amanda COX b: 21 AUG 1861 in Clinton County, Ohio
Ahnentafel, Generation No. 1
1. Alfred N. COX was born 18 AUG 1854 in Warren County, Ohio. He was the son of 2. William Car COX and 3. Elizabeth RILEY. He married Hattie MAY 17 DEC 1885 in Lewisburg, Ohio.
Ahnentafel, Generation No. 2
2. William Car COX was born 2 AUG 1818 in Bucks County, Pennsylvania, and died 17 JAN 1901. He was the son of 4. Aaron COX and 5. ELIZABETH.
3. Elizabeth RILEY was born 18 MAR 1822 in Warren County, Ohio, and died 28 JUL 1915.
Children of Elizabeth RILEY and William Car COX are:i. Richard H. COX was born 24 OCT 1852 in Warren County, Ohio. He married Anna M. SCHREEL 28 MAY 1887 in Lewisburg, Ohio.
1.ii. Alfred N. COX was born 18 AUG 1854 in Warren County, Ohio. He married Hattie MAY 17 DEC 1885 in Lewisburg, Ohio.
iii. Mary Emeline COX was born 4 DEC 1856 in Warren County, Ohio, and died 12 OCT 1928.
iv. William Harrison COX was born 20 JAN 1859 in Green County, Ohio. He married Martha STILWELL 11 AUG 1878.
v. Sarah Amanda COX was born 21 AUG 1861 in Clinton County, Ohio. She married Milton B. HANNAN. He was born 4 FEB, and died 19 NOV 1924.
Ahnentafel, Generation No. 3
4. Aaron COX.
Children of ELIZABETH and Aaron COX are:
i. Isaac COX was born 17 AUG 1808.
ii. Lacy S. COX was born 1 APR 1815.
iii. Jane COX was born 19 JUN 1816.
2.iv. William Car COX was born 2 AUG 1818 in Bucks County, Pennsylvania, and died 17 JAN 1901. He married Rebecca Ann BREWSTER 3 MAR 1842. She was born 29 MAR 1823, and died 7 AUG 1845. He married Elizabeth RILEY 1 JUL 1849. She was born 18 MAR 1822 in Warren County, Ohio, and died 28 JUL 1915.
v. Elizabeth COX was born 15 SEP 1820.
vi. Anna Maria COX was born 5 OCT 1822, and died 14 JAN 1917.
vii. Sarah Ann COX was born 29 JAN 1824, and died 4 MAR 1886.
viii. Susan COX was born 15 FEB 1826.
ix. Aaron COX was born 24 NOV 1827.
x. Timothy COX was born 9 FEB 1829.