It sounds like you're describing my dd's schedule, she's 3 months!
I feel the same way, it's exhausting. My ds was very similar, and because of that, I started to introduce solids at 4 months (I'm counting down the days until I can do the same for dd).
Keep in mind that I don't think he actually took anything for the first couple weeks. Finally around 5 months (about 2 weeks of actually taking a decent amount), he was only up once at night (bed at 8pm, wake at 2am, up at 7am).
What about your older one - anything to go by.
Sorry I don't really have an answer, hopefully it feels better knowing your not alone?