I am a very independant mother. Husband is in the military so sometimes I am essentially a single parent. My mother was also very independant, and ironically taught me two very important lessons.
1. My biological father was an abusive drunk. When I was almost 2 she left him.... and moved in with her parents. I grew up with a very close relationship with my mother and grandparents, and the lesson I learned was: As a parent, you often cannot afford the luxury of pride. The best interests of your child should always outweigh your own desire to "do it on my own."
2. As I got older and saw my mother trying to do for others so very much, sometimes her exhaustion would get the better of her and I would tell her.... "Mom, if you don't take the time and energy for yourself, you're not going to have as much to give others.... including your children." That would often get her attention.
There is a reason why, on airline flights, if the oxygen masks drop down from the ceiling, adults should secure their own masks before attending to their child's. Take that as a metaphor and run with it.
Best of luck to you and your friend.