According to the DAR service record of Benjamin Hider (Hyder) his son John Wallis Hyder and Lucy Mullins did have a son John Wallis Hyder Jr.
However as you provided no time frame or location, it may or may not be whomever you are looking for?
From: Familysearch.org
North Carolina, Marriages
Groom John Wallis Hyder
Bride Lucy Mullins
marriage 29 Mar 1811 Rutherford, NC
From: DAR.org
HIDER, BENJAMIN Ancestor #: A055088
Service: NORTH CAROLINA Rank: PATRIOTIC SERVICE
Birth: 10-16-1745
Death: 12-16-1826 RUTHERFORD CO NORTH CAROLINA
Service Source: NC REV ARMY ACCTS, VOL# V, P 35, FOLIO 4, #577, ROLL #S.115.57.2
Service Description: 1) RECEIVED CERTIFICATE FOR SERVICES RENDERED
SPOUSE: CATHRINE HELSEP
John Wallis Hyder was the child of John Wallace Hyder Sr born on 10 - Mar - 1786 at Rutherford Co NC died at Rutherford Co NC on - - 1853 and his ( 1st ) wife Lucy Mullins born on - - 1795 at Rutherford Co NC died at Rutherford Co NC on - - 1860 married on 29 - Mar - 1811married at Rutherford Co NC .
The Said John Wallace Hyder was the child of Benjamin Hider born on 16 - Oct - 1745 at _______________ died at Rutherford Co NC on 16 - Dec - 1826 and his ( 1st ) wife Catherine Heslep born on 10 - Nov - 1747 at Rutherford Co NC died at Rutherford Co NC on - - 1830 married on - -
