|I am assuming the files were encrypted with NTFS encryption. If they were encrypted by some other method your question cannot be answered without further information.|
Sorry, but I think your files are inaccessible, except possibly for some very advanced methods I have no experience with. NTFS encryption uses a key that is a part of your user account and they can only be decrypted by that key. An account on a different computer with the same name and password is by no means the same account. Unless you have the original computer with the same Windows installation and the same account you cannot decrypt those files.