Hi Denis - James Cummings was the grandson of George Cummings so perhaps there was some confusion there.
For the first marriage to Elizabeth McDermott I have the following:
Children of JAMES CUMMINGS and ELIZABETH MCDERMOTT are:
i. SARAH JANE CUMMINGS, b. 18 Aug 1872, Derry City.
ii. ANN ELIZABETH CUMMINGS, b. 29 Jun 1874, Derry City; m. PATRICK CAMPBELL, 1899.
iii. ISABELLA KATHLEEN CUMMINGS, b. 18 Sep 1875, Derry City.
iv. JAMES ALEXANDER CUMMINGS, b. 10 Dec 1877, Co Antrim.
v. CHARLES EDWARD CUMMINGS, b. 13 Aug 1879, Ballymoney, Co Antrim.
vi. GEORGE CUMMINGS, b. Abt. 1885, Ballymoney, Co Antrim.
vii. DANIEL CUMMINGS, b. Abt. 1888, Ballymoney, Co Antrim.
viii. LEO CUMMINGS, b. Abt. 1890, Ballymoney, Co Antrim.
For the second marriage:
Children of JAMES CUMMINGS and BEATRICE ELLISON are:
ix. IRENE C CUMMINGS, b. Abt. 1902, Ballymoney, Co Antrim.
x. FRANCIS J CUMMINGS, b. Abt. 1903, Ballymoney, Co Antrim.
xi. MARY J CUMMINGS, b. Abt. 1906, Ballymoney, Co Antrim.
xii. ELIZABETH A CUMMINGS, b. Abt. 1908, Ballymoney, Co Antrim.
xiii. BRIDGET VERONICA CUMMINGS, b. Abt. 1911, Ballymoney, Co Antrim.
xiv. PATRICIA CUMMINGS, b. Abt. 1910, Ballymoney, Co Antrim.
xv. JAMES ALBERT CUMMINGS, b. Abt. 1912, Ballymoney, Co Antrim.
xvi. FREDERICK T CUMMINGS, b. 1901, Ballymoney, Co Antrim; d. 1901, Ballymoney, Co Antrim.
Please treat this with caution as some of these details need to be confirmed but they are based on census returns and civil index of BMD's.