With flamingo skin, if I create a new page with Add-Page menu, my new page have a default parent and I can modify it (in Edit Mode) with "Edit Parent" menu.
However, if I type MyWebSite/bin/view/MySpace/NewPage, and click on "You can edit this page to create it. " edit the page and save it . After this, NewPage haven't Parent (Parent: No parent and Children: No children) and there is no way to attribute a Parent (because "Edit Parent" menu is not there).
The only way to fix it is to use temporary colibri skin.
Note: MySpace.WebHome don't display NewPage on Information tab who's display Parent and Childrens