How to add a Name NoteProperty to an object? - powershell

Question

How can add Name NoteProperty for an object? I tried:
$a = "This", "Is", "a", "cat"
$a | Add-Member -type NoteProperty -name Name
$a
but this doesn't seem to work.
The expected output is:
Name
----
This
Is
a
cat

Answer 1

This is the answer to the amended question:
$a = "This", "Is", "a", "cat"
$a | Select-Object #{Name='Name'; Expression={$_}}
Output, as requested, is
Name
----
This
Is
a
cat

Answer 2

Here is an example of how to take your example each value in $a, convert it to a PSObject with a Name and Value properties as well as using the Add-Member cmdlet. The ` is for line continuation. Because the Add-Member is being called in a pipeline, the -passThru property was used to pass the object with the new member on.
$a | %{ new-object psobject -property #{Name="String"; Value=$_}} `
| %{ Add-Member -inputObject $_ -passThru -type NoteProperty -name Note -Value Value}
I piped the output to | ft -auto to shrink the columns to fit here nicely.
Value Name Note
----- ---- ----
This String Value
Is String Value
a String Value
cat String Value
Another way of answering the updated question:
$a | %{new-object psobject -p #{Name=$_}
Expected output matches:
Name
----
This
Is
a
cat