An orphan is a single word at the bottom of a block of text or a title, this interrupts the reader’s eye and diminishes readability.
How to solve this on a responsive website website without re writing the copy
After many Google searchers I came across a jQuery script by Simon Goellner called jquery-unorphanize on Github. This was a well thought out script that dealt with all the issues I was experiencing. Head over to his Github page to find out how to implement it: https://github.com/simeydotme/jquery-unorphanize (the script is well commented if you are interested in seeing exactly how it works).
If you are using bower you can install with $ bower install jquery-unorphanize
Note: while writing this I see that this blog suffers from orphans… an issue has been logged.