Unfortunately the surviving church records for Errigal parish start in 1846
https://registers.nli.ie/parishes/0367There are records of two of Henry and Bridget's children after that date
Thomas baptised on 21 Jan 1849,sponsors Thomas McKenna and Ann Quigg.
Bridget baptised on 30Nov 1846, sponsors Andrew Hegarty and Mary Quigg
There is a marriage 23 Oct 1838 in Ballinascreen, of Henry Kane and McKenna (no first name recorded)
https://registers.nli.ie/registers/vtls000632987#page/141/mode/1upThere is a Henry O'Kane listed in Brockaghboy in the Griffiths Valuation...landlord Henry Quigg
http://www.askaboutireland.ie/griffith-valuation/There is a marriage of a Bridget O'Kane , father Henry,Brockaghabuoy to Daniel O'Kane,father Daniel ,Dunavenny Witnesses John O'Kane and Rose O'Kane on 13 Nov 1873
Here they are in the census 1901
http://www.census.nationalarchives.ie/pages/1901/Londonderry/Slaght/Dunavenny/1520411/