I thought I was a mollycoddler until I read this thread
Shops would not even look at her as she had no retail experience.
How would anyone ever get their first job in a shop then?
I think you're being unfair. Do you think it's easy to suddenly learn the motivation and confidence it takes to go out and get a job?
No, it's been the parents job to teach those skills over the previous 16 years and then support them in making applications etc.
It isn't easy to get a job at 16 but the Op says her daughter hasn't tried. She is not doing her duty as a parent if she doesn't teach her the value of money
Anyway it sounds like you have common sense Op. Mine aren't old enough yet to help with budget and presumably this partly depends on what you can afford. I suppose you need to decide whether you want her to buy everything (clothes, shoes etc.) or just have money for going out and socialising then go from there. I would suggest give her an amount which means she can go out once a week. If she wants to go out more than that she has to have additional earnings.
Jobs I had between 16 and 18: tesco, next and one summer office junior. Other friends worked in bakerys, as waitresses and waiters, in factories, macdonalds washing up in kitchen etc.