Apache HTTPS site DISabled, but still being redirected to it at the www (non-www works)

This isn’t the most beautiful VirtualHost, but I’ve tried just about everything else. I moved one HTTPS domain to another HTTPS domain (same IP), and want to send all traffic to the old domain to the HTTP site. When I run curl -I example.com and curl -I www.example.com I get the same response, but when I go to the websites in any browser, I’m prompted with a “Your connection is not private” error message.

<VirtualHost *:80>
  ServerAdmin web@my-website.com
  ServerName www.my-website.com

  <Directory /home/my-website/old>
    AllowOverride all
    Options -MultiViews
   </Directory>

   DocumentRoot    /home/my-website/old/
   ErrorLog        /home/my-website/shared/log/error.log
   CustomLog       /home/my-website/shared/log/access.log combined
</VirtualHost>

<VirtualHost *:80>
  ServerAdmin web@my-website.com
  ServerName my-website.com

  <Directory /home/my-website/old>
    AllowOverride all
    Options -MultiViews
   </Directory>

   DocumentRoot    /home/my-website/old/
   ErrorLog        /home/my-website/shared/log/error.log
   CustomLog       /home/my-website/shared/log/access.log combined
</VirtualHost>

I feel like this might be a DNS cache issue somewhere along the lines, but I don’t know how to debug that or confirm my suspicion.