list of parent nodes with a list of child referring nodes
probably you're using Node reference, right? If this is your case the solution is quite simple.

1) Create a view with a contextual argument for displaying all the children of a specified parent.

2) Use Display Suite module to attach this view on a custom display mode of parent nodes. With display suite you can pass the current nid to the view argument. You can also use Views Attach module ( https://drupal.org/project/views_attach )

3) create a view with the list of every parent and set to show the customized display created before.

I hope this will help you.