The Duggan surname is recorded in the Tithe Applotment records for Parkmore.

Tithe Applotment Books for Parkmore

In the Tithe Applotment records for Parkmore we see two Duggan families, viz.

John Duggan was a tenant of a total of 10 acres

William Duggan & Co. were tenants of a total of 93 acres.

Duggan births recorded in Parkmore on the Baptismal Register in Kilmurry Catholic Parish for the period from 1818 to 1850 include:

See family of Daniel Duggan and Catherine Haly.

Tim, baptised 30 Apr 1831.  Parents: Dennis Duggan and Jude Sweeny

William, baptised 17 Feb 1833.  Parents: Tim Duggan and Joan Hallisy

See family of Daniel Duggan and Julia Sweeny.

See family of Daniel Duggan and Mary Barry.

Griffith's Valuation of Ireland:

PARKMORE

Co. Cork → East Muskerry → Kilbonane Civil Parish → Moviddy Electoral Division → Parkmore
In Parkmore Daniel Duggan held Plot 4 comprising House, Offices and Land totalling 28 acs 1 rd 28 pchs.

Extract from Griffith's Valuation for Parkmore

Death:
Daniel Duggan died in Parkmore on 3 March 1872.  From his death record he was married, aged 90 years, a farmer.  Present at his death and the Informant of it to the Civil Registrar was Cornelius Duggan of Parkmore.  Difficult to say which family he is.

Clearly the name Daniel was very common amongst the Duggans of Parkmore and we see another Daniel Duggan recorded in the adjoining townland of Rathfelane (so care not to confuse the families is essential).  See details here.