The early edition of the TWC brand is Roadrunner. Emails were given to Road Runner users. Such emails are called Roadrunner Email Login
In 2012 they merged all roadrunner services under one name, TWC, in the process of rebranding. This is called Time Warner Cable. The email has evolved into TWC Webmail.
TWC was later purchased by charter communications in 2016, and re-branded as now Spectrum Net. The roadrunners are still in use, and new spectrum emails are now known as spectrum webmail