To Grumpy: I have looked it up and found 'He say' in the lyrics online, and in my original CD booklet also printed 'he say'. So it is not just what I may have misheard. I understand that 'he said' also can be found in other versions and the singer can cut off the ends, however I am still a bit confused about it.
To Rover: I just wanted to understand whether my examples were grammatically wrong and not accepted or they could be used in certain situations which I was not familiar with, because English is not my native language. Furthermore, as I mentioned, the book of Sue Monk Kidd is a recommended text for CPE Exam. It is always confusing to find something similar in a book / song written by native speakers. That's all.
Retired English Teacher