Timothy Duggan was a son od Daniel Duggan and Mary Barry.
Mary Healy was a daughter of John Healy

Timothy Duggan, a labourer of Parkmore and Maty Healy (Haly) of Gurranes married on 9 February 1875 in the Catholic Church of St Patrick in Bandon.  The marriage witnesses were Cornelius Duggan and Hannah Healy.

Children born on dates on Civil Birth Register:

Daniel Duggan, 13 Nov 1875 @ Gurranes

Mary Duggan, 5 Apr 1877 @ Gurrane

Catherine Duggan, 10 Oct 1878 @ White Barn

John Duggan, 28 Apr 1886 @ Templemartin.  John died on 22 Aug 1909 @ Parkmore

Census 1901:
http://www.census.nationalarchives.ie/pages/1901/Cork/Moviddy/Parkmore/1164782/

Census 1911:
http://www.census.nationalarchives.ie/pages/1911/Cork/Moviddy/Parkmore/374213/

Deaths:
Mary Duggan died on 6 August 1925 at Parkmore.  From her death record she was married, aged 73 years, a labourer's wife.  Present at her death and the Informant of it to the Civil Register was Daniel Duggan, her son of Parkmore.
Timothy Duggan died on 2 August 1926 at Parkmore.  From his death record he was a widower, aged 81 years, a labourer.  Present at his death and the Informant to the Civil Register was Mary Duggan, his daughter-in-law of Parkmore.