Date of Birth - 1901 census.   International Genealogical Index gives day and month for same year as above.  (Eh??) 

Found his baptism in Kilrea CofI church:
25 Sep 1831    Thomas? Gordon    James Gordon    Martha     Lislea        No.84

IFHF confirms a Thomas Gordon baptised to a James Gordon and a Martha Unknown in Kilrea CofI in 1831.

IFHF shows a Thomas Gordon baptised to a James Gordon and Mary Unknown in Kilrea CofI in 1832.

Is this him:
name:    Thos Gordon
gender:    Male
baptism/christening date:    10 Oct 1832
baptism/christening place:    KILREA,LONDONDERRY,IRELAND
father's name:    Jas Gordon
mother's name:    Mary
indexing project (batch) number:    C70034-1
system origin:    Ireland-ODM
source film number:    0908817 IT 2

Or is this him:
name:    Thos Gordon
gender:    Male
baptism/christening date:    25 Sep 1831
baptism/christening place:    KILREA,LONDONDERRY,IRELAND
father's name:    Jas Gordon
mother's name:    Martha
indexing project (batch) number:    C70034-1
system origin:    Ireland-ODM
source film number:    0908817 IT 2

His will, made in 1911, and probated on 25th Nov 1918, gave him as Thomas Gordon, Lislea, farmer, his son, David was the executor and he inherited all the property.

Name    THOMAS GORDON
Year of Death    1915
Group Registration ID    5468222
SR District/Reg Area    Coleraine
Deceased Age at Death    72
Image
Widower of Lislea, son David PAD

D/1915/96/1008/13/29    Thomas    Gordon    2nd December 1915    72        Male    Coleraine(pre-1973 Q4)

Date of Birth = 1901 census.

Bride a minor so born after 1846.

Name    MARY GORDON
Year of Death    1907
Group Registration ID    4940441
SR District/Reg Area    Coleraine
Deceased Age at Death    59
Image
Of Lislea, 59, widower, Thomas, PAD

Date of Birth = 1901 census. 

Date of Death = headstone in 1KPC.

D/1934/215/1005/8/71    James    Gordon    26th July 1934    67        Male    Ballymoney(pre-1973 Q4)


Title :    Mr    Date of Death :    26 July 1934
Surname :    Gordon    Date of Grant :    10 September 1937
Forename :    James    Reseal Date :    
Registry :    Belfast    Effects :    Effects £52 5s 0d
No Image
Full Abstract :
Gordon James of Lislea county Londonderry farmer died 26 July 1934 at Portrush county Antrim Probate Belfast 10 September to Robert Taylor commercial traveller and James Glass checker. Effects £52 5s.

Date of Birth from Vital records, courtesy of Barbara Braswell.

Civil Birth Record
Name:    David William Gordon    Date of Birth:    11-Jul-1869
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Male    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    William Mackeown
Sponsor 2 /
Informant 2:    
Notes:

Date of Death from Family History Library Irish deaths, courtesy of Barbara Braswell. The baby died from a scrofulus abcess".  All details confirmed from Derry Family History Centre Civil Registration entry.

Name    DAVID GORDON
Year of Death    1869
Group Registration ID    N/R
SR District/Reg Area    Larne
Deceased Age at Death    0
Returns Year    1869
Returns Quarter    3
Returns Volume No    11
Returns Page No    394

Civil Birth Record
Name:    Mary Elizabeth Gordon    Date of Birth:    28-Oct-1870
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Female    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:

Civil Birth Record
Name:    Margaret Gordon    Date of Birth:    18-Dec-1872
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Female    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:

Date of Birth from census 1877. Date of Birth in Vital Records: Civil Registration.

Civil Birth Record
Name:    John Gordon    Date of Birth:    05-Mar-1875
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Male    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:

Civil Birth Record
Name:    Robert Gordon    Date of Birth:    17-Jan-1878
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Male    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:
TWIN OF THOMAS  BORN AT 3:30 PM

DoB from immigration record in 1905.

Civil Birth Record
Name:    Thomas Gordon    Date of Birth:    17-Jan-1878
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Male    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:
TWIN OF ROBERT  BORN AT 3PM

33 in 1911 Census

Civil Birth Record
Name:    David Gordon    Date of Birth:    15-Apr-1879
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Male    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Mary Jane Gordon
Sponsor 2 /
Informant 2:    
Notes:

Civil Birth Record
Name:    Isabella Gordon    Date of Birth:    11-Aug-1881
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Female    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Mary Jane Gordon
Sponsor 2 /
Informant 2:    
Notes:

Civil Birth Record
Name:    Rachael Gordon    Date of Birth:    04-Sep-1883
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Female    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Jane Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes:

Civil Birth Record
Name:    Martha Gordon    Date of Birth:    20-Jan-1886
         Registration Date:    
Address:    Lislea    Parish/District:    KILREA
Gender:    Female    County    Co. Derry
Denomination:    Registrar District
Father:    Thomas Gordon    Mother:    Mary Ajne Gamble
Occupation:    Farmer        
Sponsor 1 /
Informant 1:    Thomas Gordon
Sponsor 2 /
Informant 2:    
Notes: