Just seen this, think you may need XP pro to synchronize on a network, it's more alligned towards business use.
From XP pro help:
To synchronize offline items
Open Synchronization Manager.
Select the check boxes next to the offline items that you want to synchronize, such as a mapped network drive or an Internet Explorer offline Web page.
Files must be shared before they can be used with Offline Files. Once shared, files will display in the list of available items to synchronize.
To synchronize individual files, folders, or Web pages in Windows Explorer, My Computer, or Internet Explorer, select the item that you want to synchronize. On the Tools menu, select and click Synchronize.
Synchronization Manager can also be opened from the command line. Click Start, click Run, type in mobsync, and then click OK.
Probably not much use on it's own but may be enough to let you work out if the home edition has mobsync or not.
"I'm not lost, I'm exploring...."