James Plummer born in England was a son of James Plummer, a Royal Marine
Annie Kenny was a daughter of John Kennie (Kenny), a sailor.

James Plummer, 21, of Fort Camden and Annie Louisa Kennie, 18, of Myrtleville married on 9 December 1873 in the Church of Ireland in Kinsale

Children born on dates on Civil Birth Register:

James Plummer, 4 Sep 1874 @ Ballinluska, Carrigaline

John Plummer, 23 Jan 1876 @ Ballinluska, Carrigaline

Charles David Plummer, 8 May 1877 @ Ballinluska, Carrigaline  married Mary Buckley

Mary Emma Plummer, 2 Dec 1878 @ Ballinluska, Carrigaline.  married Patrick O Hare

Robert Alfred Plummer, 15 Sep 1880 @ Ballinluska, Carrigaline

Margaret Plummer, 24 Mar 1882 @ Haulbouline, Cobh  married Harry Marsden

Sarah Anne Plummer, 27 Feb 1884 @ Haulbouline, Cobh  married Charles Simmons

Anne Louisa Plummer, 12 Nov 1885 @ Haulbouline, Cobh married Walter Batchelor

Florence Plummer, 1887 @ Haulbouline, Cobh.  married Walter Williams

Kathleen Teresa Plummer, 24 Oct 1889 @ Haulbouline, Cobh  married William George Pike

Herbert Christopher Plummer, 22 Dec 1891 @ Haulbouline, Cobh

Eleanor Lavina Plummer, 20 Sep 1893 @ Haulbouline, Cobh.   married Thomas Cummings

Ernest George Plummer, 1 Apr 1898 @ Haulbouline, Cobh

Census 1901:
http://census.nationalarchives.ie/pages/1901/Cork/Queenstown_Rural_No__2/Haulbowline_Island/1138729/

Census 1911:
http://census.nationalarchives.ie/pages/1911/Cork/Queenstown/Haulbowline/405563/

Deaths:
James Plummer died at 30 Harbour View, Cobh on 19 August 1924.  From his death record he was married, aged 71 years, an office keeper.  Present at his death and the Informant of it to the Civil Registrar was his daughter Hellen Cummings of 30 Harbour View.
Annie Plummer died on 18 May 1940 at 1 Queen St., Cobh.  From her death record she was a widow, aged 77 years, a nurse.  Present at her death and the Informant to the Civil Registrar was her grandson, Walter Cummings.