This looks to be Andrew Moorhead’s birth on 6.6.1879 in Kilnacolpagh:
https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_returns/births_1879/02922/2070483.pdf
His parents married in Ballymena Register Office in 1864:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1864/11596/8267660.pdf
You ask about a Presbyterian church in Creevery. Creevery is about 20 miles away from both Kilnacolpagh & Ballynacaird. It’s near Toome. The nearest Presbyterian church to Kilnacolpagh is Buckna but Presbyterians didn't always attend the nearest church to where they lived. Many folk around Ballynacaird attend either Broughshane 1st or Broughshane 2nd. All 3 are possible churches.
Having said that I note that Samuel & Jane married in Ballymena Register office. You would wonder why. Were they Brethren at one time perhaps?
This looks to be Sam & Jane in the 1901 census:
http://www.census.nationalarchives.ie/pages/1901/Antrim/Slemish/Ballyna…
This was the only Moorhead family in Kilnacolpagh in the 1901 census:
http://www.census.nationalarchives.ie/pages/1901/Antrim/Slemish/Kilnacolpagh/939588/
The nephew Thomas in that census looks to be one of Samuel & Jane’s children. This may be his birth:
https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_returns/births_1870/03363/2233189.pdf
People didn’t bother much about spelling in Ireland in the 1800s and it varied all the time. Moorhead and Muirhead would be interchangeable. Using one or the other was not an indication that the family had changed the spelling. Just that they were indifferent to how it was spelled. Often it was at the whim of the person recording the information.
There are about 6 or 7 Moorhead gravestones in Buckna Presbyterian churchyard. 3 have no inscriptions, just the surname. This one mentions Muirhead of Ballynacaird:
Erected by Andrew Muirhead, Ballynacaird In memory of his father William Muirhead who died 11th November 1886 aged 66 years Also his mother Elizabeth Muirhead died 6th February 1892 aged 68 years Also his brother Thomas Muirhead died 7th February 1927 aged 71 years Also the above named Andrew Muirhead who died 20th November 1940 aged 88 years
I noticed this stone in Racavan graveyard which mentions Thomas Moorhead of Ballynacaird:
Erected In Memory of Sarah Morrow Wife to John Moorhead of Teenis, she departed this life 18th of March 1824 aged 72 years. Also their son Thomas Morrhead Who departed this life 14th December 1830 Aged 32 years Also Thomas Moorhead. Ballynachaird Died 9th March 1903, Aged 83 years His wife Mary Moorhead, Died 1st April 1903 Aged 79 Years. and Jane Moorehead, Spinster Died 21st July 1917, aged 62 years Also Elizabeth Davison, Died 8th Jan 1928