How to set the instance name of a new emacs frame?

[stefano . sabatini-lala]

With the command line command:
$ emacs --name="foobar" &

is possible to define the instance name of the main emacs window.

I ask is it possible to define or modify the name of the instance of a
new frame created with:
(make-frame)
?

It would be very practical, for example to define the instance name for
the emacs speedbar window, that will be so recognized by some
instance-name-aware WM (as sawfish).