Paquia loves animals, especially the Eggfoots of Eiyuden Chronicle: Hundred Heroes. With enough of them, she can fulfill her dream of building an Eggfoot racing facility for all your party and other townspeople to join.
Paquia is waiting at the foot of the steps on the east side of Arenside. She asks you to bring her five regular eggs. These eggs are dropped in battle by Eggfoots, Shell Eggs, and Odd Eggs. This tasks takes quite some time as they don't drop in every battle with these creatures. The best places to find these creatures to battle are outside base, Grum County, and outside Kyshiri Village. These are all locations in between villages and out on the main map area. She will only take regular eggs. Once you have five of them you can return to Paquia and recruit her.
You have to have Paquia recruited to build the Eggfoot Stables. She helps to care for the animals there.