The creation of a new partition is very different from operating system to operating system and when talking about Linux; from distribution to distribution. Freespire may not provide a graphical interface for making new partition, it could be text-based.
I think you should look around and explore the Live CD of yours, and see if you can find somewhere to make new partitions.
Edit:
After this post I checked Freespire's Wiki. You can manage partitions on the Live CD, using a graphical interface. The Live CD includes a version of GParted.
Click here to find more information about GParted, and how to manage partitions under Freespire.