How do I get my baby to sleep?

My little girl is 9 months old and she hardly ever sleeps. She takes maybe 2 naps during the day. Sometimes she'll take an hour nap but the rest are 15-30 minutes. She goes to bed at night between 10-10:30 so I don't let her take naps past 6. She goes to bed easily because she is tired. But she's been waking up around 3 or 4 whining in her sleep. She doesn't cry, just whines. I've tried to let her cry herself back to sleep but it lasted over an hour one night and I was so tired I just gave in and got her a bottle. She's not awake when she cries, she's still asleep. I know she doesn't need a bottle because she takes a big cereal bottle right before bed. For the past week she's been crying around 4, 6, and 8. She finally gets up around 9. I don't know what to do. I hear her every time she starts whining so it wakes me up. I'm not getting much sleep and she's not getting good sleep so she's very grumpy in the day. Even through her naps in the day she whines! My Pediatrician told me to try a little Benadryl to help her sleep but it doesn't work. She's teething but I give her tylenol or Motrin for that. Nothing helps! I just don't know what to do anymore. She also will not take a pacifier. If you could please help, I'd sure appreciate it!