Related follow-up paper
I assume you would cite your earlier paper somewhere in the introduction of the new paper.  You could write something like this: 

Recently, we (Author1, Author2, &amp; Author3, 2016) presented a series of experimental and modelling results for a pure system.  With the current paper, we would like to extend ... 

Alternatively, a footnote may be appropiate to indicate that the first authors are the same.  

Also, see this publication on the topic of name changes in academia: The Ripple Effect of Women's Name Changes