Thanks for the gravestone wording. Think it might help towards sorting this all out
Starting with Charles
James Taylor- you said earlier you'd his birth certificate but never mentioned the exact date of birth (which is the same as the James Taylor from birth extracts that I posted a link for in reply #7)- so, either Charles J. and James were twins or Charles James and James are the same child. What was the date the birth certificate was written? (i.e. issued at time of registration/shortly afterwards or many years later)
Charles Taylor was in Culmore with his mother in 1901 but married with a young son in 1911 (as Charlie James Taylor)-
www.census.nationalarchives.ie/pages/1911/Antrim/Kirkinriola/Brocklamont__part_of/1185678 Sept.1923 arrived in Boston, Mass. from Londonderry, N.I.: Charles Taylor, 43, born Rasharkin, gardener, going to Philadelphia. Son- James Taylor, 16, mechanic, born Kilrea. Daughter Sarah, 11, school, born Ballymena.
Naturalization records for Charles James Taylor, gardener, born 23 Apr.1879 Culmore, show 2 children: James born 25 June 1907 and Sarah born 25 Sept.1911.
1942 WWII draft registration card for Charles has same birthdate, gives a Mrs. Annie J. Taylor as contact (perhaps a 2nd wife) but more interestingly (for me at least because of the local connection) is the name and address of his employer- Samuel Robinson of Glencoe House.
http://www.ballymoneyancestry.com/samuel-robinson.aspxBack to the headstone, here's brother William McAleese:
McAleese William of Lower Tamlaght Kilrea county Londonderry labourer
died 21 March 1952 at Bann View Hospital Coleraine county Londonderry Administration Londonderry 13 June to Mary Browne McAleese the widow. Effects £135 18s. 1d.
If both Hessie (1886) and William (1890) were the illegitimate children of Margaret Jane McAleese perhaps Charles James Taylor (1879) was also illegitimate (either Margaret Jane gave the registrar false details or the baby's father appeared at the registration). Taking it back a step further, perhaps Margaret Jane McAleese was the illegitimate daughter of Patrick McAleese and a Margaret Wallace.
Added- you needn't quote every post in your reply as this can make the reply over-long,