One thing I need to make sure you understand is citizenship eligibility is the combination of two things: a) being physically present in the US for at least 913 days in the last 5 years AND b) not being outside of the US for more than 180 days in one trip. The second is very important, 180 days may not always be the same as 6 months, depending on the months (think February).
I am not counting the days again and just going with the visual check and the days you provided. It does seem she should be eligible. Now, a difficult IO may challenge the intention by asking about the many trips she took, but that is not the law so do prepare an explanation but have no fear. In fact, my wife and I took many trips during our 3 years (14+ trips), but it was never an issue.
Hope it helps!
