This is tragic - there is SO much you could do.
Use your logic, Unless you go to a hairdresser who has naturally curly frizzy hair, how on earth would they know!? Also you/she could never professionally blow dry curly hair, like a highly experienced first class hairdresser can.
A few tips:
Never rough blow dry curly hair. You need heat, so use a diffuser, but do not blast it. Or sit by a log burner if you’re lucky enough to have one.
Put some serum in it when it’s wet (not gallons as it will look greasy).
To enhance the curls if bits are frizzy, twist sections round and round your finger and let it dry like that. Obviously you do loads of sections around the head.
When dry finish off with more serum on the ends if necessary and put some Shine spray on it (online Toni & Guy).
IMPORTANTLY next at night, she needs a silky sleep hat. They do them for either long or short hair. She will wake up with soft feeling curls, and she won’t look like a scarecrow that has to do her hair all over again.
Another excellent thing is a silk padded hair band (Etsy). When the hair is damp, you brush sections, and wrap it round and round that.
Best to do it afternoon/ early evening keeping the band on overnight and also using the silky sleep hat to protect it when she’s asleep.
Wake up with the most amazing wavy curly hair.
The finish really is to die for.
Believe me, I know because I have hair like your daughters!! Be brave and go for it, because it’s is SIMPLE.
You will need to invest, but it’s so worth it:
Silky night hat £25
Silk padded hair band £30
Serum price varies
Shine spray Toni & Guy £12