You've to pass output parameter by reference. However doing so generates an error when owner cannot be determined. Below is modified code that works.

For Each objProcess in colProcesses
	strNameOfUser = REPLICATE(CHR(0),256)
    * See if owner can be determined    
    Return = objProcess.GetOwner(strNameOfUser)
    If Return <> 0 Then
        ? "Could not get owner info for process " + objProcess.Name + CHR(13) + "Error = " + STR(Return)
    Else 
        * Get Owner
        Return = objProcess.GetOwner(@strNameOfUser)

        IF objProcess.name = "WINWORD"
        	SET STEP ON 
        ENDIF 	
        ? "Process " + objProcess.Name + " is owned by " + "\" + strNameOfUser + "."
    EndIf
Next

>I'm trying the code in the last link
>

>strComputer = "."
>Set colProcesses = GetObject("winmgmts:" & _
>   "{impersonationLevel=impersonate}!\\" & strComputer & _
>   "\root\cimv2").ExecQuery("Select * from Win32_Process")
>
>For Each objProcess in colProcesses
>
>    Return = objProcess.GetOwner(strNameOfUser)
>    If Return <> 0 Then
>        Wscript.Echo "Could not get owner info for process " & _
>            objProcess.Name & VBNewLine _
>            & "Error = " & Return
>    Else
>        Wscript.Echo "Process " _
>            & objProcess.Name & " is owned by " _
>            & "\" & strNameOfUser & "."
>    End If
>Next
>

>
>in VFP it looks like this:
>

>strComputer = "."
>loCIMV2 = GetObject("winmgmts:{impersonationLevel=impersonate}!\\" + strComputer + "\root\cimv2")
>colProcesses = loCIMV2.ExecQuery("Select * from Win32_Process")
>
>For Each objProcess in colProcesses
>	strNameOfUser = SPACE(140)
>    Return = objProcess.GetOwner(strNameOfUser)
>    If Return <> 0 Then
>        ? "Could not get owner info for process " + objProcess.Name + CHR(13) + "Error = " + STR(Return)
>    Else
>        IF objProcess.name = "WINWORD"
>        	SET STEP ON
>        ENDIF 	
>        ? "Process " + objProcess.Name + " is owned by " + "\" + strNameOfUser + "."
>    EndIf
>Next
>

>
>I'm not sure the first example works "as is" as the variable "strNameOfUser" was not declared, the help says the "GetOwner" method has 2 "output" variables. Anyhow ;), it's not working, the strNameOfUser is never filled althought the method call returns 0 (success). I tried pre-filling it with null, 0, "" and a x number of spaces, it remains untouched.
>Do you know how to proceed from here?
>
>TIA
>
>Max