Not really. CS6 is an upgrade to your CS5.5 and upgrades are supposed to used under the same conditions as the original qualifying product. Of course you can install CS6 on a second machine at any time as long as you don't use them at the same time. And Adobe may not even technically prevent you from re-using your CS5.5 on two additional machines, but it's definitely not how things are meant to be, even if they may tolerate this, if it is kept within the family. Just don't be foolish and give your CS5.5 away, if your daughter lives elsewhere - for the aforemntioned reasons, you are gonna need the serial number to activate your CS6.
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