Arianne's first chapter details her trip north to meet with the sellswords who are taking over Cape Wrath. Aboard the Peregrine they put into a place called Weeping Town where they buy horses for the next leg of their journey- at five times the usual prices. Apparently the sellswords are taking every horse they can. There are lots of rumors in town, and she sends her men to all three taverns to collect the news. From there they set off. The way runs through the rainwood, and Martin does an excellent job describing the lush greenery- mushrooms growing on trees, moisture dripping everywhere, even the sounds of little waterfalls. Everything is green and wet.
They take shelter in a cave and Elia Sand (Oberyn's daughter) decides to explore- the cave extends quite a ways back apparently. They tell her to be careful and while she's gone Arianne thinks about her brother Quentyn, off in Slavers Bay to woo Daenerys. She thinks that Dany is young and will want someone attractive and daring, that Quent is too plain for her. Also she muses on Myrcella heading north, to Kings Landing, and how the Lannisters can try to spring their trap to kill Trystane, but it won't succeed since Trystane stayed behind in Dorne.
When Elia doesn't return they search for her, finding an immense cave with stone columns, all carved in the likeness of faces. The children of the forest were here at one time. Eventually they find Elia, fishing for blind fish in an underground pool, and Arianne chastises her pretty sternly. From there they eventually make it to Mistwood, and are greeted by two rather loutish mercenaries- Young John Mudd and Chain. They dine with the dowager lady of Mistwood, and when Arianne asks her how she's being treated, she says she hasn't been raped, but some of the serving girls have. When Mudd protests that they don't rape- Connington forbids it- Chain allows that some girls might have been persuaded.
Throughout all this Arianne sends ravens back to her father with the news she collects. They leave the next day for Griffin's Roost and after eight days they arrive. Chain accompanies them during part of the trip and lets slip that Connington means to take Storm's End, one of the most secure fortresses in the realm. They are met by Lysono Maar of the Golden Company when they approach the Roost, and Arianne thinks that he makes her skin crawl. She asks him if it's true they have elephants, and why it is that they do not have dragons. He replies they do have a dragon- Aegon.
I feel like this conversation, which gets a little sharp, may be foreshadowing the reckoning I feel is coming for Aegon. There's a lot of skepticism about whether he truly is Rhaegar's son, and when Arianne tells Maar that dragons trump elephants, that may be a sign. In any event they reach Griffin's Roost and meet with Halden Halfmaester, who is holding it for Connington while he's out in the field. There Arianne is informed that Connington has indeed taken Storm's End, and that an army is marching south from King's Landing in response. I'm assuming that these are Tyrell forces.
Halfmaester plans to send her on to Storm's End by ship, but Daemon counsels her not to go lest she get stuck there in the fighting. Arianne insists however, and wonders privately if the mercs would even let her demur at this point. She wants to meet this Connington, and especially Aegon, to take his measure. Is he really Targaryen?