I think money helps immensely in making you happy. There's no happiness in not being able to pay the bills. Money just doesn't guarantee happiness, there are other factors, like health, work satisfaction and relationships.
Success I guess is achieving your goals. I think it's important to talk to our children about goals. My parents were very much a result of their youth, late 1960's / early 1970s, and success and money were dirty words, they were both teachers, and for both of them getting an education was a big deal. At school, the teachers assured us that everything would be fine as long as we got an education - not true! When I graduated, unemployment was high among academics, and many of my peers found it very hard to find work, many were unemployed for years.
I would have liked to have defined my goals better when I was choosing what to study. But then again, if someone had asked, I would have found it very hard to answer. I guess my parents tried not to interfere too much with my choices.
We talk a lot to our DCs about work and education. DH watches Dragon's Den and plays Monopoly with them. I talk to them about what kind of jobs they should avoid because they are not paid very well. (I did most of them as a student!). Unfortunately that's jobs like teaching, working with children, nursing and other very important fields. Quite horrid, really. I want my children to find work that they enjoy and can make a living from. In particular I want my DD to be able to support herself - most of the women in DH's family can't actually support themselves, I guess they thought they would find rich husbands, something I still struggle to understand after 15 years in England, that so many women are financially dependant of their spouses.