Did you copy them by CD-R? If the files in the save folder are marked as read-only, the game will crash when trying to open them. Also, games saved under v1.34 can not be run in v1.29, so you would have to install the patch on the second system, if you had it on the first.
Other than that, there should not be any problems transferring saves. All of the required files are in one folder, with no registry entry or index files somewhere else.