Get Product Key from my Recovery partition

here's an example, not of the whose scenario, but this shows you how to read your own Product Key:

Script:

# ************************************************************
# Get Product License Key
# Source is PowerShell.com > PowerTips > Getttin Windows Product Key
# For those interested in learning PowerShell this is an excellent site.
# See their 'Mastering PowerShell' for a thorough presentation of xx chapters
# ************************************************************

# ************************************************************
# Start copying with next uncommented line (no # in first character;
# Copy thru 2nd EXIT;
#  Paste into PowerShell using right-click
# ************************************************************
function Get-ProductKey {    
    $map="BCDFGHJKMPQRTVWXY2346789" 
    $value = (get-itemproperty "HKLM:\SOFTWARE\Microsoft\Windows NT\CurrentVersion").digitalproductid[0x34..0x42]  
    $ProductKey = ""  
    for ($i = 24; $i -ge 0; $i--) { 
      $r = 0 
      for ($j = 14; $j -ge 0; $j--) { 
        $r = ($r * 256) -bxor $value[$j] 
        $value[$j] = [math]::Floor([double]($r/24)) 
        $r = $r % 24 
      } 
      $ProductKey = $map[$r] + $ProductKey 
      if (($i % 5) -eq 0 -and $i -ne 0) { 
        $ProductKey = "-" + $ProductKey 
      } 
    } 
    $ProductKey
} 

Get-ProductKey > $env:userprofile\Desktop\ProductKey.TXT


EXIT
EXIT

# ************************************************************
# Places ProductKey.TXT on your DESKTOP
#
# **********************INSTRUCTIONS**************************
# STEP 1 *****************************************************
# RUN PowerShell as administrator
# START ORB | type POWERSHELL | CTRL+SHIFT+ENTER key combo | ALT+Y keycombo
# ************************************************************
# STEP 2 *****************************************************
# COPY, using CTRL+C, every line down thru both EXIT statements 
# PASTE into Powershell == Right-Click at the PowerShell Prompt
#  (Ctrl+V does not work)
# ************************************************************
# ***************** NOTE - POWERSHELL VERSION*****************
# if you receive this error msg:
#  Get-WinEvent: The system can not find the path specified
# you need to update your PowerShell
# you must be using Powershell 2.0 or later.
#
# To determine your Powershell version:
#   Run PowerShell
#   enter $host.version
#   you should see at least:
# Major  Minor  Build  Revision
# -----  -----  -----  --------
# 2      0      -1     -1
#
# If you do not see the above, update your Vista/Win 7.
# ************************************************************
# *************** NOTE - EXECUTION POLICY*********************
# If you haven't set the execution policy, you may need to:
#   Run PowerShell
#   enter Set-ExecutionPolicy -executionpolicy remotesigned
#
# ************************************************************ 


The last time I checked that Office portion thereof did not work on Office 2010. The win 7 product key part does.
Uses, but more elegantly, the same algorithm as in the Powershell script.

From the NirSoft site:

ProduKey is a small utility that displays the ProductID and the CD-Key of Microsoft Office (Microsoft Office 2003, Microsoft Office 2007), Windows (Including Windows 7 and Windows Vista), Exchange Server, and SQL Server installed on your computer.

Trouble is that MS changed the algorithm for Office 2010.

Works fine for Win 7.

You notice that I said that you would need to run on another computer. You need to import the appropriate hive, alter the script to refer to the altered hive.

Researching how to accomplish these steps I leave as an exercise to you.

Have fun,
karl