How to customize children_list view for special case

I'm attempting to use views and node-hierarchy to create a view that lists items in depth-order, rather than a list of children. For example, for the sake of simplicity imagine that each node can only have one child and one parent, and there was only one hierarchy, so all nodes belonged to the same "breadcrumb." This "depth" view would list all nodes on the site by order of depth. For example, a list of titles generated by this view might look like:

Node 1
Child of node 1
Child of child of node 1
Child of child of child of node 1
Ad infinitum

Any idea how I could use arguments and/or relationships to tweak the nodehierarchy_children_list view to accomplish a view that would produce a list of this kind? Or how I would create that kind of view from scratch if not? This is very much like a view list of a breadcrumb, I suppose, although I really need to do this w/ views and not a breadcrumb module.

Thanks for any help, really struggling on this one.