This. If the hair wasn't brushed or pulled back so tight that the curl pattern is distorted the baby hairs wouldn't stick out so much, they'd become part of the curls. It's normal to have some shorter hairs around the face, even straighties have them.
Brush does need to be put in the trash, I wonder if she would engage with YouTube curly beauty gurus on methodical detangling ,there are videos on it. Really should only be detangling in the shower slathered in conditioner, saying she puts it up in a bun suggests she is dry detangling. Otherwise it would be great if the OP could become her daughter's role model for gently caring for beautiful curly hair.
2a-2c, medium texture, porous/ colour treated. Three years CG, growing out mechanical and chemical damage = breakage and very high porosity. Past armpit length heading for waist.
CO-wash: Inecto coconut
Treatments: Komaza Matani, coconut oil, Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss ultimate volume, Inecto argan
Styler: Umberto Giannini jelly, Boots Essentials gel
Experimenting with: going back to basics