SUCCESS!
 I was able to retrieve the private key. But it wasn't easy. Here's what you need to do:
  - Make sure you do not restart the server or Apache. The game is over at that point. That also means making sure that no monitoring services restart Apache.
- Grab this file - source code for a tool named passe-partout.
- Extract the source code and adjust line 9 of - Makefile.mainto read:
 - $(CC) $(CFLAGS) -o $@ $(OBJS) $(LDFLAGS) 
 - (Notice that the - $(OBJS)and- $(LDFLAGS)are reversed in order.)
 
- Run ./build.sh.
- Grab the PID of Apache using: - service apache2 status 
 
- Run the - passe-partoutcommand as root:
 - sudo passe-partout [PID] 
 - ...where - [PID]is the value you retrieved in step #5.
 
- If the program succeeds, your current directory will have a bunch of extra keys: - you@server:~# ls id_rsa-0.key id_rsa-1.key id_rsa-2.key 
 
If all went well (and hopefully it did), one of those keys is the one you need. However, if you had more than one certificate/keyfile in use, then you need to figure out which one it is. Here's how you do that:
 First grab a copy of the certificate that matches the signed key. Assuming the file is named server.crt, run the following command:
 openssl x509 -noout -modulus -in server.crt | openssl md5 
 This will output a value that you will need to match against each of the keys. For each key, run the following command:
 openssl rsa -noout -modulus -in id_rsa-0.key | openssl md5 
 If one of them matches, you've found the key.
 
 Credit: this article pointed me to passe-partout.