right click on my computer select manage. go to disk management. if the drive shows up there, theres still possibility to recover data from the drive.
If the drive does not show up in disk management, you will need professional data recovery most likely.
If the drive IS in disk management, there is a possibility that you can access the data from a linux CD. you can use a Ubuntu Live cd to check this.
An external enclosure is just a IDE/SATA to USB. your computer will register them as a hard drive. theres no need to remove the drives from there enclosure. especially since in most cases, people damage the enclosure trying to open them.