I went looking for his father James in
Templepatrick tithes applotment books,
http://www.irishgenealogyhub.com/antrim/tithe-applotments/templepatrick-parish.php#.V2R1ileoc5R which includes the civil parish of Templepatrick , and Templepatrick. the search didn’t find any Sherrard, or any names of individuals living in Templepatrick.. There are two entries I noticed
Sheerer Samuel Townland: Mullusk Year: 1833
Sheerer, William Townland: Mullusk Year: 1833
I wouldn’t dismiss these entirely keep in case of brick walls and known problems of the books having a high ratio of misspellings or enumerators bias etc
Griffiths valuation http://www.askaboutireland.ie/griffith-valuation/ useing Carnmoney parish includes
SHERRARD ROBERT ANTRIM CARNMONEY ie BALLYVESEY
SHERRARD DAVID ANTRIM CARNMONEY ie CROGHFERN
and quite a few in Shamkill parish which includes Belfast there are two leslie james sherrrards recorded in that source
in belfast st directories see
http://www.lennonwylie.co.uk/scomplete1877.htm1877 Sherbrooke Street runs from Peter's Hill to Old Lodge Road
11. Sherrard, James
1861 James Birkmyre BALLYCRAIGY townland carnmoney from Griffiths valuation
1861 William Birkmyre BALLYCRAIGY townland carnmoney from Griffiths valuation a
in 1901 irish census see
www.nationalarchives.com one example
11 in Glengormley (Carnmoney, Antrim)
Hutchinson Margaret 30 Female Daughter Presbyterian G A Co Antrim Laundry Worker Read and write - Married -
Sherrard Hannah Mary 21 Female Daughter Presbyterian G A Co Antrim Laundry Worker Read and write - Not Married -
Hutchinson Mary Boal 7 Female Grand Daughter Presbyterian G A Co Antrim Scholar Read and write - Not Married -
Sherrard John 60 b abt 1840 Male Head of Family Presbyterian G A Co Antrim Farm Labourer Read only - Married -
Sherrard John 24 Male Son Presbyterian G A Co Antrim General Labourer Read and write - Not Married -
Sherrard Sarah 55 Female Wife Presbyterian G A Co Antrim - Read and write - Married
The Ulster Historical Foundation has
http://www.ancestryireland.com/ purchase credits or join.
births showing the fathers names
SARAH SHERRARD 1789 HUGH Antrim
JAMES SHERRARD 1790 HUGH Antrim
JAMES SHERRARD 1790 HUGH Antrim
SAMUEL SHERRARD 1848 SAMUEL Antrim
DAVID FERGUSON SHERRARD 1864 JAMES Antrim
SHERRARD 1865 ROBERT Antrim
SHERRARD 1865 ROBERT
SUSANNA SHERRARD 1865 ROBERT Antrim
Samuel Sherrard 1866 James Antrim
JOSEPH ALFRED SHERRARD 1868 ROBERT Antrim
etcetc
marriages showing the fathers names
SHERRARD SAMUEL 1846 SAMUEL Antrim
SHERRARD JOHN 1850 WILLIAM Down
SHERRARD JOHN 1850 JAMES Antrim
SHERRARD WILLIAM 1850 JAMES Antrim
SHERRARD ELIZA ELLEN 1851 JAMES Down
SHERRARD MARGARET 1852 JOHN Antrim
SHERRARD MARY JANE 1853 JAMES Antrim
SHERRARD ABIGAIL 1853 THOMAS Antrim
SHERRARD MARGARET 1854 JAMES Antrim
SHERRARD COCHRANE 1856 COCHRANE Antrim
thats all i can suggest as records, more at PRONI Belfast etc