Helping people with computers... one answer at a time.
Unfortunately you cannot connect to someone via Remote Desktop with XP Home if you have XP Pro. But there are other products that you can use instead.
How can I connect using remote desktop to someone that has XP Home if I have XP Pro?
The short answer is you can't. The remote system needs to be running the Remote Desktop Service (also known as Terminal Services), and XP Home doesn't have that. You'll need to use something like pcAnywhere, GoToMyPC or similar products.