It's not known if Daniel had more children than those listed below. We know of a Mary Cunningham who married a William Stack and who had a daughter named Margaret who was baptised in Moyvane on 22 April 1858 with sponsors Bernardus (equivalent of Bryan) Cunningham and Maria Enright. Could Mary have been a daughter of Daniel's? We know she was not a daughter of Daniel's brother Myles as Myles's daughter Mary married either a James Moore or a Pat O'Sullivan.
And there was a James Cunningham of Kilbaha, married to a Honora Thornton, who had at least two children: Elizabeth, baptised on 7 December 1841 (sponsors were Michael Thornton and Mary Thornton) and Daniel, baptised on 18 May 1844 (with sponsors Daniel Cunningham and Honora Cunningham). Could James have been a son of Daniel's?
Also, we know from a search of Newtownsandes baptismal records in the National Library in Dublin that a Cornelius Cunningham of Kilbaha, who was married to a Brigid Kennelly, had a daughter named Mary who was baptised on 20 September 1868 (with Honora Stack as a sponsor). Could Cornelius possibly have been a son of Daniel's, or a son of Daniel's brother Myles? We have since learned that Cornelius lived in Athea, Co. Limerick where Bridget, his wife, and all his children, except Mary, were born. Cornelius and Bridget had 12 children: Catherine (born in January 1864, probably died as a child), John (December 1864), Michael (1866), Mary (1868, probably died as a child), another Catherine (c.1870, probably died as a child), another Mary (c.1870), Patrick (1872), Johanna (1873) who was known as Nonie, Bridget (1875), Cornelius (1877), Denis (1879) and another Catherine (1881) who was known as Kate. Michael, Mary, Nonie and Denis emigrated to the United States, settling in Kansas City, Missouri. Their mother too emigrated to Kansas City; she was about 60 years of age and left Cornelius back in Ireland. The 1911 census of Ireland tells us that Cornelius, aged 77, was living in Dirreen, Athea at that time. Bridge died in Kansas in 1922.
Steve Cunningham in the U.S. tells me his great-great-grandparents were Cornelius Cunningham (born about 1836 in Co. Kerry) and Bridget Kennelly who lived with their family in the Athea area of Co. Limerick, not far from Kilbaha. It's possible Steve's great-great-grandparents were the same couple whose daughter Mary was baptised in Newtownsandes in September 1868. In case there is indeed a connection between Steve's Cunningham family and the Cunningham family which includes the aforementioned Mary, here's a little more detail on Steve's family: Bridget emigrated to the U.S. in 1906 with her son Denis, his wife Catherine (Katie) O'Sullivan and their two young children, Mary and Cornelius. They settled in Kansas City, Kansas where Bridget died in 1922. Denis and Katie later moved across the state line to Kansas City, Missouri. If anyone has further information on Cornelius and Bridget, an email in the first instance to Helen@HelensFamilyTrees.com would be much appreciated.