Ok I'm going to be intentionally vague so apologies in advance.
A lives in the same street as B but they don't really know each other although the kids are good friends. Both peoples dc start at the same school which is some distance away.
A takes her son to school in the car which takes 20 minutes
Bs dc go to school on the bus which is 45 minutes to an hour in traffic and includes a bus change.
A starts to offer Bs dc a lift home when she sees them at home time.
This isn't daily as sometimes the son and other dc are in afterschool sessions or not in the same classes or simply don't see each other that day.
Bs dc continue to catch the bus to school and home when not with As son.
B has not offered petrol money to A as B feels she is paying £70 a month for her two children's bus pass which covers them to school and back and doesn't really want to be paying even more out.
B feels it is silly to leave the two children to navigate the buses on the days they are in class together when they live in the same street but would appreciate a gesture of a small offer towards petrol
Who is in the wrong
Should Bs dc refuse the lift if they aren't offering money?
Should A stop offering to take the dc?
Over to you.