I would actually look at extending her napping times. First, lengthen her awake time, so if she wakes up at 7 am, put her down a little bit closer to 9:15.. giving her time to settle on her own in her bed, so that she can fall asleep into the next sleep cycle. Then for her afternoon nap, give her nap 3 hours after her morning nap wake up.
I'm not sure if you have started solids, it wasn't clear on your post, but if you haven't I would look at breakfast, lunch and dinner.
For evening bedtime, definately keep the bath before the bottle. Sounds like she gets very wound up during her bath (gotta love those splashes!), and the bottle can help her settle down for sleep. Don't worry about giving her a feed before bed, just make sure that she doesn't fall asleep on her bottle.
Do the book reading during the day, as part of her activity time. It may be too much stimulation before bedtime.
When you put her into bed, move away from her bed, and give her the space to settle to sleep. Sometimes if our little ones see us, they may associate it with playtime. Also take a look at her environment.. is it over stimulating.. is it too bright?
One last thing.. if she has the ability to self settle into sleep, she will return to it. She's going through a bit of developmental milestone, and everything goes a little wonky during this time.. but it does settle down and back into routine. Our nerves may be a bit frayed by this time.. and a few more grayhairs.. but that's parenthood!
Hope this helps!