As per title , the wordpress plugin Per Page Sidebars does not work when you enable a widget for 2 pages which have same names. I was building a site which had duplicate children page names for multiple parents.
I modified the plugin to register the widgets from PSS-Name-of-Page to PSS-Name-of-Parent-Name-of-Page
This enabled me to have multiple widgets for pages by the same name , and also an easy way to organise the widgets in the backend. Code modify in the per-page-sidebars.php file
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