The side quest "Don't look for absolution" in Red Dead Redemption consists of several stages. Its successful completion will increase the level of Arthur's honor to the maximum level.
During this mission, Morgan will help a woman named Edith Downes and her son. The quest marker will only appear if the main character already has a fairly high level of positive reputation.
As a rule, the beginning of the mission falls on the fifth Chapter, but if desired, it can be unlocked in the sixth. To do this, Arthur must come to Saint-Denis and pay a visit to the doctor. Immediately after that, a quest marker will appear in Annesburg. There, Morgan will find Edith Downes, a local prostitute.
After the cut scene, Arthur will have to go to the mine, which is located on the West side of the city. There, he sees several miners chasing Edith's son. Morgan will have to start a close battle with the Brigadier.
After a while, a second marker will appear in Annesburg. The main character will need to find Archie, who will stand between the buildings. Then you will need to start searching for his mother, following the North-East.
After Arthur finds the road that goes under the bridge, he will need the skill Eagle eye. It is with its help that he will be able to see the blue tracks, which he will need to continue on his way. The tracks will lead him into the desert. To be sure of the correct direction, you should continue to use the Eagle eye.
As soon as Arthur catches up with Mrs. Downes and her escort, he will need to engage him and defeat him. After that, bring the mother and son to Annesburg and give them some money.