Naps suck!

Ch
Allow me to set the scene...Cool, dark room. White noise. No distractions. Well fed baby. Put her down for a nap 1.5 - 2 hrs after waking, wide awake & she puts herself to sleep (yay for that milestone!) - 40 mins later on the dot, she wakes up and will NOT go back to sleep to finish her nap! We have tried CIO, rocking, shushing, singing, patting, more clothes, less clothes, magic sleep suit, etc. no matter what she absolutely refuses to sleep longer. It is really affecting her nighttime sleep as well since she is over tired. Does anyone have advice other than what i listed above? Id really like to help her get more sleep. TIA :)