Didn't find his parents but found Mary Faulk's ancestors - and they had a slew of children in addition to Lorenzo, many of whom you can find additional details on https://familysearch.org/, such as marriage and death records, a few examples are below. From some records James birth is 1787-1788?
From DAR.org
FAULK, PHILLIP DAR Ancestor #: A039267
Notice: MORE ON BACK--SEE COMMENT
1) NO LONG FORM PAPER; MAKE CN NEXT LONG FORM PAPER & REMOVE CODE
Service: NORTH CAROLINA Rank: PATRIOTIC SERVICE
Birth: (CIRCA) 1760 EDGECOMBE CO NORTH CAROLINA
Death: (ANTE) 2- -1825 COLUMBUS CO NORTH CAROLINA
Service Source: HAUN, NC REV ARMY ACCTS, VOL XI, PART X, P 1330
Service Description: 1) PAID FOR SERVICES RENDERED,WILMINGTON DISTRICT
Residence: County: BLADEN CO - State: NORTH CAROLINA
Spouse: MARY HINNART
The Said William Calvin Ward was the child of Search All: Ward
James Ward born on 1 - Mar - 1788 at NC died at Columbus Co NC on 30 - Oct - 1889 and his ( 1st ) wife
Mary W Faulk born on 2 - Feb - 1811 at NC died at Columbus Co NC on 4 - Nov - 1867 married on (a) - - 1832
The Said Mary W Faulk was the child of John H Faulk born on - - at _______________ died at Columbus Co NC on (p) 30 - Dec - 1831 and his ( 1st ) wife Priscilla born on - - at _______________died at Columbus Co NC on (p) 4 - Oct - 1846 married on - -
The Said John H Faulk was the child of Phillip Faulk born on (c) - - 1760 at Edgecombe Co NC died at Columbus Co NC on (a) - Feb - 1825 and his ( 1st ) wife Mary Hinnart born on - - at _______________died at _______________ on - - married on - -
North Carolina, Deaths, 1906-1930
https://familysearch.org/pal:/MM9.1.1/F3C4-J88
John Staford Ward
death 15 Jan 1918 Columbus, NC
Male : White Married
age at death: 88y 2m 13d
birth 02 Nov 1829 Columbus Co, N.C.
father: James Ward birthplace: Brunswick Co, N.C.
mother: Mary Faulk birthplace: Columbus Co., N.C.
occupation: Farming
cemetery: T(?K)onyduval Cemetery
burial date: 17 Jan 1918
Informant Jno J Ward, Old Dock, NC
https://familysearch.org/pal:/MM9.1.1/F384-PRD
William Calvin Ward
death 25 Aug 1923 Lees, Columbus, NC
Male White Married
age at death: 65y 8m 11d
birth date: 14 Dec 1857 birthplace: Columbus Co., N.C.
spouse: Addie Ward
father: James Ward birthplace: N.C.
mother: Mary Faulk birthplace: N.C.
occupation: Farming
burial place: Lees Township
burial date: 26 Aug 1923
Informant Ace Ward, Nakima, NC
U S Census, 1850 Columbus county, Columbus, NC
https://familysearch.org/pal:/MM9.1.1/M4Y1-4QT
James Ward M 53 NC
Mary Ward F 39 NC
Priscilla Ward F 23 NC
Frances M Ward F 22 NC
John S Ward M 20 NC
James Ward M 18 NC
Mary Ward F 16 NC
Asa Ward M 14 NC
Delilah Ward F 11 NC
Sarah A Ward F 10 NC
Rachel Ward F 8 NC
Elizabeth Ward F 6 NC
Eliza P Ward F 3 NC
Lorenzo F Ward M 1 NC
North Carolina, Marriages
https://familysearch.org/pal:/MM9.1.1/F88W-7LQ
groom Lorenzo Ward
bride's name: Frances E. Gore
marriage 03 Sep 1874 Columbus, NC
groom's father's name: James Ward
groom's mother's name: Mary Ward
bride's father's name: Aaron Gore
bride's mother's name: Mary Gore
U S Census, 1870 Lees, Columbus, NC
https://familysearch.org/pal:/MM9.1.1/MW8D-TYT
James Ward M 72y NC
James Ward M 38y NC
Mary Ward F 36y NC
Sarah Ward F 30y NC
Rachel Ward F 28y NC
Rebecca Ward F 26y NC
Eliza Ward F 22y NC
Lorenza Ward M 19y NC
Julia Ward F 16y NC
William Ward M 11y NC
Henry Hickman M 9y NC
