From looking at that image, your drive appears to be a Hitachi deskstar IDE/ATA drive so you will need another IDE/ATA/PATA drive. In teh image you provided, it looks like there is an adapter over the 2 rows of pins found on a PATA drive. Guessing you should be be able to remove the adapter and put it on the new drive.
The adapter should just pull off. Personally, I've never seen an adapter glued in place but doesn't mean it won't be.
Once you've removed the adpter, the two rows of pins should be visable and you can plug into a PATA 2.5" enclosure.
Also, misread the drive label. It's a hitachi travelstar (the deskstar is the 3.5" equivalent)