/usr/include/gtk-3.0/gtk/deprecated/ is in libgtk-3-dev 3.4.2-0ubuntu0.9.
This file is owned by root:root, with mode 0o755.
..
/usr/include/gtk-3.0/gtk/deprecated/gtkcolorsel.h
/usr/include/gtk-3.0/gtk/deprecated/gtkcolorseldialog.h
/usr/include/gtk-3.0/gtk/deprecated/gtkfontsel.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhandlebox.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhbbox.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhbox.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhpaned.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhscale.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhscrollbar.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhseparator.h
/usr/include/gtk-3.0/gtk/deprecated/gtkhsv.h
/usr/include/gtk-3.0/gtk/deprecated/gtkrc.h
/usr/include/gtk-3.0/gtk/deprecated/gtkstyle.h
/usr/include/gtk-3.0/gtk/deprecated/gtktable.h
/usr/include/gtk-3.0/gtk/deprecated/gtktearoffmenuitem.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvbbox.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvbox.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvpaned.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvscale.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvscrollbar.h
/usr/include/gtk-3.0/gtk/deprecated/gtkvseparator.h