I am also a descendant of Catoneras - she is my 10th gr grandmother. The best information on her is in an article by John A. Strong, James Van Tassel and Rick Van Tassel - the article is at https://lihj.cc.stonybrook.edu/2010/articles/in-search-of-catoneras-long-island%E2%80%99s-pocahontas/. There is also great discussion on her from members of the Montaukett Tribe at Montaukett.net in a blog posting called Recently Discovered Heritage - the thread is long and is several years old now but covers a lot of thinking of members of the Montaukett tribe and of her descendants. Her profile here her shows her as a descendant of Wyandanch and this is definitely wrong and I hope that they correct that soon - its not possible for her to be his daughter as she was born well before he was - she may be a cousin or an aunt to him but definitely not a daughter - she is believed to be Matinnecock rather than Montauk but even that is not proveable at this point. The Montaukett tribe accepts all the tribes from the Long Island region as part of the greater Monatukett network as part of them as Wyandanch was expected to approve of many things like land exchanges and agreements other tribes in the region made as they were finalized. These things are complicated and hard for us to understand today as to why but it has a lot to do with ancient agreements made and tributes ancestors made honoring victories in battles long ago fought and won/lost among other things, marriages between neighboring tribes and many other things many well before white men even put feet down on North American soil.
Anyway, I hope these 2 articles will give you more information on Catoneras and bring you information you are looking for about her. I'll be glad to try to help you with more specific info if you let me know what you are trying to find out if I can.
Barb Klein Mills