Thanks for using JustAnswer
I understand that you have purchased Office 2010 Home and Student with 3 licenses
When you purchased Office did you provide any email address?
If so, can you check your email for download link and license details?
Can you please provide me the URL you used to purchase Office 2010?
As you have already installed on your wife's new laptop with new product key you can easily retrieve the Product Key from your wife laptop using a simple tool without installation.
The software is ProduKey
It can be downloaded from
Please download 32 or 64 bit version depending on OS on your wife laptop is 32 bit or 64 bit..you can get to know if OS is 32 bit or 64 bit by right clicking on My Computer and selecting properties
Please let me know if you need any help with this
Once you download ProduKey, please run it on your wife laptop where you have installed Office 2010 and you should be able to see Product Key
Then use that for downloading on your computer
Hope this helps
All the best
Please feel free to let me know if you have any further queries