If she's throwing up then it could be reflux related, maybe ask the dr for advice?
She must be overtired though. My baby's sleep overnight is still a work in progress, but she's sleeping much better in the day now I've given up trying to get her to sleep in the cot and am putting her down in the pushchair in the garden. Then I can jiggle/rock/walk as needed and there aren't any big distractions to keep her awake.
Advice I found which was helpful was that at this age they should nap 2 hours after waking, then again 3 hours after that sleep, then bedtime is 4 hours after that... so e.g.
7am wake up (wake them at the same time each day and don't let them sleep within an hour of waking up or it becomes an extension of their nighttime sleep)
9-10 - 1st nap
1-3 - 2nd nap
7 - bedtime
Do a quick naptime routine before each 'sleep', then a longer one before bed and they should be calm and in the cot/buggy/wherever by the time you want them to be sleeping.
I gave up on the NoCrySleepSolution after 6 months as it just wasn't working, and I'm now doing the Sleep Lady shuffle (gradual retreat) at bedtime and in 2 weeks I've had real success at getting her to settle at night - to start with it took over an hour and lots of tears, although I was there with her to comfort her... tonight I put her in her cot, had to lay her down once when she stood up & she rolled over and went to sleep! I honestly never thought it'd happen as she would only ever feed to sleep..
Night wakings are between 2 & 5 times (argh!), but she does have teeth coming in and is starting to walk, so probably lots of things interfering there - as soon as she wakes in the night she stands up, which really doesn't help with the self-settling! But I have hopes that now she's starting to settle for the night she'll improve in time.
Good luck, if you google Sleep Lady there are lots of helpful websites and youtube videos - I found some of the sites more useful than the book I eventually bought, especially this.