In this chapter Kate and Emma found Michael, who was kept by the Countess.They then figure out that Michael traited them because the Countess said that she would bring their parents back.
In chapter 8 the three siblings get thrown into prison by the secretary. They then find other kids who try to hang Michael because they thought he was a traitor. Abraham then comes to help the siblings escape.
In this chapter the children are lead to a cabin by Gabriel. There Gabriel takes care of them. The kids had a great time with Gabriel, nice food and shelter. They were perfectly fine.
In chapter 10 Gabriel tries to help the siblings escape by taking them through secret passageways. The screechers found them, but Gabriel told them to run, so they got away.
The summary of this chapter is that when Gabriel and the siblings were still in the passageway, they got kidnapped by dwarves. The dwarves brought them to the king.
In this chapter Gabriel brought Emma to a chamber because she had gotten shot with a poisonous arrow. While that is happening Kate and Michael were captured by the dwarves, and were with Dr. Pym.