How do you put two different Twitter accounts on one Webpage/website?

I am building a website and there are two different Twitter accounts I want to put on it. I wanted to know if anyone knew how to do this so that if there was a problem with one Twitter, the other would still post properly. For now if i ever have a problem with my first twitter, the entries from the second twitter pops up in its spot and leaves the second twitter's space blank. Please Help!