I think you just need to add gravity = "bottom" in the toolbar settings, for example:
<android.support.v7.widget.Toolbar android:id="@+id/my_awesome_toolbar" android:gravity="bottom" android:layout_height="256dp" android:layout_width="match_parent" android:minHeight="?attr/actionBarSize" android:background="?attr/colorPrimary">
I needed to add some indentation at the bottom of the layout to get the edit, but it should get the text at the bottom of the edit.
Or you can set layout_gravity to EditText.
<EditText android:layout_width="fill_parent" android:layout_height="wrap_content" android:layout_marginBottom="16dp" android:layout_gravity="bottom" android:id="@+id/searchbox" android:text="Test" android:background="#ffffff"/>
I am surprised that alignParentBottom compiles. I do not think the toolbar inherits from RelativeLayout.
Edit - Here is my full layout:
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android" xmlns:tools="http://schemas.android.com/tools" android:layout_width="match_parent" android:layout_height="match_parent" tools:context=".MainActivity"> <android.support.v7.widget.Toolbar android:id="@+id/my_awesome_toolbar" android:layout_height="264dp" android:layout_width="match_parent" android:layout_alignParentBottom="true" android:minHeight="?attr/actionBarSize" android:background="?attr/colorPrimary"> <EditText android:layout_width="fill_parent" android:layout_height="wrap_content" android:layout_marginBottom="16dp" android:layout_gravity="bottom" android:id="@+id/searchbox" android:text="Test" android:background="#ffffff"/> </android.support.v7.widget.Toolbar> </RelativeLayout>
The result is the following:

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