git newbie - cloning / check out help

I am just ramping up on git and have the following scenario / issue:

  I have a git repository on server A.

  I clone it onto my machine B.

  In my local copy/repository on machine B I clone a repository on some 
third party server C.

  I commit my changes into B and push them to A.

  Now if I clone my repository from Server A onto my local machine
 in a different location I see all the source as normal but only the top
 level directory of C. Any source under that is not present. 

What is the magic git incantation to make sure that I check out not only the code from my repository but any repositories that are cloned into it (recursive clone?)

Thanks

Donald