Where are orders saved in the database?

I cloned a store subsite to create a new one and the parent site had a few orders saved in it which carried over to the new site. I was ignoring them for awhile since the new site belongs to the same seller (different national distribution area) however, with the excellent MarketPress Statistics plugin that came out this week, those residual orders are screwing up the statistics because they really shouldn’t be there in the newer site.

There is no built in system to delete the orders in the dashboard so I figure that I can squash them out in the database, but after poking around in there I couldn’t find them. Where and how are the orders saved in the database, and how would I go about deleting them?