The main conflict in “Thank You M’am” is character vs. character, but another important conflict is character vs. society, and there are internal conflicts.
The obvious character vs. character conflict is between Roger and Mrs. Jones. He tries to steal her purse, and she makes him come home with her.
The conflict is resolved because the two characters come to an understanding and appreciation for each other.
The second conflict is character vs. society, because both characters have had a rough go of it. Mrs. Jones and Roger both wanted things they could not have, because society creates a materialistic need.