Name of the HP Female Adapter Socket In My Laptop
This is fairly standard connector, and can be found in abundance on Farnell

(http://uk.farnell.com/webapp/wcs/stores/servlet/Search?catalogId=15001&amp;langId=44&amp;storeId=10151&amp;categoryId=700000004991&amp;st=DC%20connector&amp;pageSize=25&amp;showResults=true&amp;pf=110056900) 

You just need to measure the outer diameter of the barrel and choose the one that suits from the above link.

I have narrowed the search by gender, but just check it is a female one you're buying!

Enjoy.