Hi
I see 5 siblings for your Andrew, John b.1834, William b,1837, Alexander 1841, Robert 1844 and David 1846 all baptised at Dunfanaghy Presbyterian Church
I think I see the marriage of his father in the same church in 1833 Andrew McNutt = Susan Richardson, Andrews father was a William McNutt, his mother was a Catherine Culbert, Andrew Snr. was born approx 1796, he died in 1884
The Andrew McNutt who died in 1934 is not the same Andrew as the one you are researching (b. Dunfanaghy 1839), I see this Andrew in the 1901/1911 Census living with his brother and family in Fanad West, Donegal, his brother is called Robert and is aged 86 in the 1911 Census, older than Andrew which dosen't fit the Robert who baptised at Dunfanaghy in 1844, also I can see the marriage of this Robert to Isabella in 1861, Roberts father is a Robert McNutt in this record, this Andrew was baptised Fanad Pres. Ch 1838, father Robert
1911 Census record for Andrew (died 1934)
http://www.census.nationalarchives.ie/pages/1911/Donegal/Fanad_West/Leat_Beg/501571/There is a Civil death record for Andrew McNutt in 1888, died Burt Parish birth year estimated 1832 but birth year may not be accurate
Regards
Joe