There is no birth record for an Adam Mc in 1806 anywhere; so this appears to be an unrecorded birth unless our transcription of an Allan McMurtrie b 1805 in Maybole (son of Thomas and Margaret Gemmell McM) is a mistranscription of Adam. This birth record needs to be re-inspected.
There is no marriage record for Adam b 1781.
CF 52 includes an Adam McMurtrie born about 1806 in Maybole according to the census who was the son of one Adam McM a mason and Mary McHutcheson according to the younger Adam's 1869 death record. Since the mason would have been the right age to be the Adam b 1781 Dailly, son of James and Mary McHutcheon, there has been speculation that perhaps the informant, William McM, son of Adam d 1869, reported his grandfather's name correctly, but got the great-grandmother's name in place of the grandmother. This is a bit far-fetched, but three of the children of James and Mary moved north from Dailly to die in Dalrymple and one daughter Lilia seems to have moved to Dumbarton and there married a William Ewing in 1806. So finding Adam b 1806 in Largs, Ayrshire in 1831/37, a few miles west of Dumbarton may reflect a connection. Also, Lilias' husband's name: William Ewing is remarkably similar to the informant (William Emity) on the death record of John McM b 1780 d 1864, one of the siblings of the CF 4 family.
1864: John/ Dalrymple 6 - died June 8th, aged 84, tailor, son of John McM, tailor and Mary McHutcheson, of senile decay. Informant: William Emity, nephew.
1806 May 24 Dumbarton McMutrie,Lilias married William Ewing
In any event, we can not prove this one way or another and simply point it out as one of those strange possibilities.