E-mail
Call a command line E-mail utility from the DOS command to send E-mail. There are many freeware utilities available. How to use Blat.
E-mail security
You probably don't want to send network details in clear text over the Internet. Solution: call an encryption tool with the DOS command. A good free tool is GnuPG, download "Precompiled binaries for MS-Windows 95, 98 and NT". See example Read all event logs, search for string, if found - encrypt and send E-mail.