How can I pre-fill a connected parent-object's field value in a child-object's form?

How can I pre-fill a connected parent-object's field value in a child-object's form? I'd like to have the client's name already filled in at the top of a form to add records to a child object corresponding to that client. So you don't have to re-find the client from a giant drop-down menu of client names.

Assuming that the child object for is set to add a record connected to the parent object like this:

Then you don't need to fill in the parent record's value (hence not displaying that field in the screenshot) - it will be filled in automatically.

This can be disconcerting if, as a user, you are worried that the child record may not be connected to the correct parent - and you can deal with this by using a details view to display parent object data at the top of the page.

Hope this helps?