Locking behaviour is different via network shares

Question

I have been trying to lock a file so that other cloned services cannot access the file. I then read the file, and then move the file when finished. The Move is allowed by using FileShare.Delete.

However in later testing, we found that this approach does not work if we are looking at a network share. I appreciate my approach may not have been the best, but my specific question is:

Why does the below demo work against the local file, but not against the network file?

The more specific you can be the better, as I've found very little information in my searches that indicates network shares behave differently to local disks.

string sourceFile = @"C:\TestFile.txt";
string localPath = @"C:\MyLocalFolder\TestFile.txt";
string networkPath = @"\\MyMachine\MyNetworkFolder\TestFile.txt";

File.WriteAllText(sourceFile, "Test data");

if (!File.Exists(localPath))
    File.Copy(sourceFile, localPath);

foreach (string path in new string[] { localPath, networkPath })
{
    using (FileStream fsLock = File.Open(path, FileMode.Open, FileAccess.ReadWrite, (FileShare.Read | FileShare.Delete)))
    {
        string target = path + ".out";
        File.Move(path, target); //This is the point of failure, when working with networkPath

        if (File.Exists(target))
            File.Delete(target);
    }

    if (!File.Exists(path))
        File.Copy(sourceFile, path);
}

EDIT: It's worth mentioning that if you wish to move the file from one network share, to another network share while the lock is in place, this works. The problem only seems to occur when moving a file within the same file share while it is locked.