M.6.
I'm not understanding why her waking at night is affecting your sleep? At 9, she should be able to "self soothe" for lack of a better word. She can be set up with the tools she needs in order to stay in her room when she wakes (you don't mention she is doing anything other than waking or partial waking - like screaming, walking, nightmares, etc.).
A couple of things you might want to try -
1. No screen time of any kind for 60 minutes prior to bedtime - zero.
2. Melatonin - ask a doctor for the correct dosage as too much can actually cause vivid/bad dreams which would defeat the purpose.
3. Bedtime routine
4. Make sure that there is no exposure to anything stimulating food or drink wise in the hours leading up to bedtime. Different things affect different people. For example, my husband cannot eat products with MSG within 5 hrs of bedtime or he will kick me all night long in his sleep. 9 is old enough to not need a bedtime snack so after dinner, I would limit it to water only until bed.
5. Waking her 1 hr into her sleep cycle. Sounds counter-intuitive, I know, but it works. We had a daughter who was sleep walking (which can come from restless sleep/bad sleep cycle) and the pediatrician said that waking her up enough to answer 3 questions one hour after she was asleep would reset her sleep cycle. It worked!
6. If all else fails, speak to her doctor about a mild over the counter sleep aid like Nyquil ZZZ or something. We had to do that for our son for 14 days to correct his sleep cycle.
I suffer from insomnia and one of the tools I use is to leave my light on next to my bed. For me it eases the pressure I feel to go right to sleep. Having a book to look at helps, too.
Good luck!