I get texts from this company with a website.  I checked out the website and it is for a home warranty.  I went to the website to unsubscribe and there is no place to put in a phone number to stop the texting.  It is a very basic website.  These places are getting annoying and I want them to stop.

Do not respond to unwanted texts or emails from questionable sources. Several mobile service providers will allow you to report unwanted spam texts by simply texting/forwarding it to 7726 (or “spam”) to enable the providers to prevent future unwanted texts from the specific sender.

(If your provider is ATT, try the code "block")

Source:
http://www.fcc.gov/guides/spam-unwanted-text-messages-and-email

More info:
http://en.wikipedia.org/wiki/Mobile_phone_spam
http://blog.usa.gov/post/89152807112/protect-yourself-from-text-message-spam

However, in many cases, the text origin, as seen on your phone, is faked.  The internet domain does not exist, or the phone number may have been spoofed.