You’re going to be pushing the brown stuff uphill to share Ubuntu and Win7 inside a 64GB HDD.
Not familiar with the notebook that you’re using - but does it have a UEFI BIOS? If it does, you might have to jump through some hoops to install a ‘non-signed’ OS. Could also be that Ubuntu has issues recognizing the NTFS file system on the disk. Have you done a chkdisk /f on the windows disk in case there is something wrong with the filesystem?
Have a look at ubuntu-12-10-quantal-quetzal-on-fujitsu-lifebook-uh572 for some notes about running Ubuntu off a USB key and dual booting that way.
Best bet is to pick up another HDD and swap it with the SSD and do a clean install.
Or run the Ubuntu install as a VM - I’ve got it all working on VMWare (including the USB to Android stuff) - but you may be able to get it going under Oracle’s VirtualBox. Using a VM may be better, as the internal peripherals are all bog standard - and you’re not going to be stuck looking for weird linux drivers to get something running.
edit: Oracle’s VM is VirtualBox, not OpenBox…