mod_wsgi error with Django: Timeout when reading response headers from daemon process

I'm running Django 2.0.4 with mod_wsgi 4.5.20.

I'm getting an error when I try to deploy a site to our dev environment at /parature. What's weird is that the site deployed at the root of the VirtualHost is responding as normal:

[Tue Apr 10 13:34:08.998704 2018] [wsgi:error] [pid 65245] [client xx.yy.zz:65390] Timeout when reading response headers from daemon process 'parature-develop-https': /var/django/html/parature-develop/config/wsgi.py

I can run the site via runserver with the virtualenv activated. It shouldn't be timing out, as I'm just trying to bring up the Django admin site.

<VirtualHost *:443>
  SSLEngine On

  ServerName wrds-pub1-dev.example.com
  ErrorLog "|/usr/sbin/cronolog /var/log/httpd/errorlog/%Y/%Y-%m-wrds-pub1-dev-error.log"
  LogLevel info

  WSGIApplicationGroup %{GLOBAL}

  # The site I'm adding, which isn't working
  WSGIDaemonProcess parature-develop-https python-home=/var/django/virtualenvs/parature-develop request-timeout=600
  WSGIProcessGroup parature-develop-https
  WSGIScriptAlias /parature /var/django/html/parature-develop/config/wsgi.py process-group=parature-develop-https
  <Directory /var/django/html/parature-develop/config>
    Require all granted
  </Directory>
  Alias /parature/static/ /var/django/html/parature-develop/static/
  <Directory /var/django/html/parature-develop/static>
    Require all granted
  </Directory>

  # The site which has been and continues to work
  WSGIDaemonProcess django-wrds-dev-https python-home=/var/django/virtualenvs/django-wrds-dev request-timeout=600
  WSGIScriptAlias / /var/django/html/django-wrds-dev/config/wsgi.py process-group=django-wrds-dev-https
  <Directory /var/django/html/django-wrds-dev/config>
    Require all granted
  </Directory>
  Alias /static/ /var/django/html/django-wrds-dev/static/
  <Directory /var/django/html/django-wrds-dev/static>
    Require all granted
  </Directory>
  Alias /media/ /var/media/wrds-www/
  <Directory /var/media/wrds-www>
    Require all granted
  </Directory>
</VirtualHost>

I feel like I'm missing something obvious, but can't see it. I've got a similar configuration in another VirtualHost with multiple Django projects under the same domain, and that is working fine, as long as the root site comes last.

The wsgi.py is almost exactly the same as the site that is working as well:

import os, sys, logging
from socket import gethostname
from django.core.wsgi import get_wsgi_application

# Since this powers Apache, let's route Python errors to the Apache
# log rather than STDOUT, where they'll never be seen.
logging.basicConfig(stream=sys.stderr)

# Figure out where we're at, and add the parent to the path
sys.path.append(os.sep.join(os.path.abspath(__file__).split(os.sep)[:-2]))

# wrds-pub1-dev server
if 'wrds-pub1-dev' in gethostname():
    os.environ.setdefault("DJANGO_SETTINGS_MODULE", "config.settings")
# wrds-pub* production servers.
elif 'wrds-pub' in gethostname():
    os.environ.setdefault("DJANGO_SETTINGS_MODULE", "config.settings")
# else use dev settings.
else:
    os.environ.setdefault("DJANGO_SETTINGS_MODULE", "config.settings")

application = get_wsgi_application()

Any ideas?