Hide specific headings from (python) sphinx toctree while still showing other headings of same depth/level (or deeper)

Question

Assume I have the following rst file:

child_file.rst

=========
Chapter
=========
Sample text Sample text Sample text


----------
Section 1
----------
Sample text 

****************
Section 1.1
****************
Sample text Sample text

----------
Section 2
----------
Sample text Sample text Sample text

The file is called into a sphinx toctree by another file, so:

parent_file.rst

.. toctree::
   :maxdepth: 2
   child_file.rst

Now, I do not want Section 1 to show up in the resulting toctree, but I do want Section 1.1 and Section 2 to be included. This means that I cannot just use the:titlesonly: option for the ..toctree directive.

I have seen similar questions for which the answer is to play around with :maxdepth:, but I can't do that either since Section 2 is at the same depth as Section 1, and Section 1.1 is even deeper.

Are there any solutions?