Children of a page whose 'secure-read' property is set, also require authentication in order to read.  The 'secure-read' property acts as though it were inherited by the children pages.

!|script|
|given read locked page|ParentPage|
|given page|ParentPage.ChildPage|
|it should not be readable with no authentication|
|it should not be readable by user|Aladdin|password|open please|
|it should be readable by user|Aladdin|password|open sesame|