So as I have been increasing movingly my life into Git version control it made sense to explore methods of publishing with Git.
Turns out to be quite simple.
On the web server
Create a folder to host live site (live)
Create a folder to host git repository (repo)
Create git bare repository in folder (repo)
git init --bare
Within the hooks folder create a file called post-receive
with the following text
GIT_WORK_TREE="../live" git checkout -f
Now ensure the folder live is writable by the web server and that the file post-receive is executable. This hooks means that when the repository is committed to it will check out the files to the live web directory.
On the local box
Now on the box that the files exisit all you need to do is add a new remote (I tend to call it web but it can be called anything).
git remote add web *your-remote-url*
and then when you push the files will be made live.