Jane,
You haven’t said who Jane Holden’s father was but I did find a Holden family in Carnkeeran (spelling varies).
Letters of Administration of the personal estate of Margaret Holden late of Carncairn County Antrim Widow who died 24 August 1891 at same place were granted at Belfast to Hamilton Holden of Carncairn Farmer a Son.
The 1901 census lists Hamilton Holden farming in Carnkeeran:
http://www.census.nationalarchives.ie/pages/1901/Antrim/Broughshane/Carnkeeran/928127/
His first wife was Mary Johnston that he married in 18909:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1890/10689/5895597.pdf
She died and then he married Lizzie McClure in 1895:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1895/10512/5828966.pdf
Both marriages were in the West Presbyterian Church in Ballymena (beside the courthouse).
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1895/10512/5828966.pdf
Family in 1911:
http://www.census.nationalarchives.ie/pages/1911/Antrim/Broughshane/Carnkeeran/119360/
Still farming there in the 1940s:
Holden Janie Acheson of Carncairn Broughshane county Antrim died 10 March 1942 Administration Belfast 7 June to Samuel Holden farmer the husband. Effects £603 12s. 6d.
The family appear to have had plots 9 & 10 in Carnkeeran (in Griffiths Valuation). Still farmland today. Access from the Ballylig Rd just to the east of Broughshane on the Carnlough Rd.
Family probably attended Broughshane 1st Presbyterian church. It has 3 Holden graves. Here’s one that would appear to relate to your family:
Holden In loving memory of The Holden Family of Appletee and Carncairn
You haven’t given me enough information about the Montford family to trace them but chances are they also attended that church. 4 Montford gravestones in Broughshane 1st:
Erected, by, John Montford, Little Ballymena In memory of his beloved wife Sarah McAllister who died 18th Oct 1899, aged 74 years Also his son Hugh who died 17th Jan 1900, aged 42 years Also the above-named John Montford who died 31st Jan 1909 aged 80 years Andrew who died 18th Sep 1943 aged 85 years Margaret Jane who died 20th Jan 1951 aged 90 years James who died 21st June 1951 aged 88 years Blessed are the dead which die in the Lord
In memory of his father, John Montford, who died 1st March 1864, aged 70 years, And his mother, Anne Montford who died 3rd November 1880, aged 82 years. And his brother, Archy Montford who died 31st March 1873, Aged 40 years Also Margaret Montford who died 15th July 1917, aged 57 years Also Robert B Montford, who died 18th November 1922, aged 66 years Also Elziabeth Mc M. Montford who died 16th May 1926 Also Jan Montford who died 21st June 1958 also John Alexander Montford who died 14th July 1969 Erected by John Montford, Lisnamurrican, 1881
The above named John Montford who died 13th December 1897 aged 74 years Also his wife Elizabeth who died 15th December 1899 aged 78 years Also his son John Montford who died 3rd April 1948 aged 83 years His loving wife Mary Montford who died 21st April 1950 aged 81 years Erected by John Montford Lisnamurrican 1881
Erected by Martha Monford in memory of her beloved husband James Montford who died 29th December 1903 aged 75 years Also the above named Martha Montford who died 29th March 1908