Flase starts!

Baby is 4 months, I started sleep training 2 days before baby turned 4 months. Started with gentle sleep training that wasn't working and making it worse, so ended up giving up and doing CIO. It's been working so far, progressively less crying each night except for the false start. Baby keeps false starting every single night, she has basically done this since birth. She false starts usually 30-45mins after bedtime. I know she is overtired but I have no idea how to get her more sleep when she keeps false starting, is up for like an hour and losing sleep crying. So her wakeup time is all over the place. I typically put her to bed around 8-8:30 and since she false starts and is up for over an hour, she wakes up at like 9:30 which I know is super late. She also wakes up twice during the night to eat. During the day her schedule is roughly 1.5/1.75/1.75/2. She goes between 3 and 4 naps since she usually only naps for 20-40mins so I just have to see what the day brings. Her naps barely ever go over 2 hours total. How do I start her false starting? I'm getting so frustrated because she'll go to bed great and then wake up and that's when she cries for over 20mins.