What are some Chuukese legends featuring women?
The only source I know of for Chuukese legends and mythology (other than people from Chuuk) is the book Never and Always: Micronesian Legends, Fables, and Folklore that was written by students from the Community College of Micronesia and edited by Gene Ashby who was an instructor there. This is a book from the early 1980s.
In that book, there are at least two legends from Chuuk (one from the outer islands and one from inside Chuuk Lagoon) that feature women. From the outer island of Nomwin is one about a female ghost who is said to have had a hand in creating the island as it is now. Food that she threw into the water became islets along the reef of the atoll that are good for growing crops. Water that she brought to the island in her mouth became ground water that can be obtained by digging wells. From Tol, there is a story about how a woman caused sharks around that island to be dangerous. The story revolves around a woman who gave birth to two sharks. The woman was eventually mistreated and the sharks took revenge for her and thus gained a taste for human flesh.