To change the order of objects on the same tile, or to pick a specific object to delete from a stack, open the Build (the hammer icon) in the toolbar, then select Edit in Mapmaker. Mapmaker opens in a new tab in most browsers. You know you are in the Mapmaker if you see a tile grid overlaying your Space. (You must be an Admin or Builder to open the Mapmaker.) 

With the Select tool active, click on the stack of objects/tile that you want to manage. In the right pane of the Mapmaker, the List of objects tab displays. Hover next to the name of the object and select the three dots to the right of the name. From this context menu, you can change the order of the object, delete it, or make a duplicate of it. 

From the Mapmaker, use the Select tool to click on the tile you wish to manage. Select the three dots to the right of the object name to manage the object.