How do you make fields into individual rows with each field value?

[UMDTERPS]

I have a search that does the following:

| inputlookup system_scores.csv
| search "big search goes here"
| fields server_org both_server_desktop_score  desktop_score  server_score

The search gives me the following:

server_org    both_server_desktop_score     desktop_score        server_score
Bob                        60                                                       10                                     40
Alice                      40                                                       10                                     30
Jill                           10                                                        5                                        5

I would like to get each column into a row for each of the scores. My envision the search would look like this:

server_org                        server_type                                                         Score
Bob                                        both_server_desktop_score                       60
Bob                                        desktop_score                                                  10
Bob                                        server_score                                                     40         
Alice                                      both_server_desktop_score                       40
Alice                                      desktop_score                                                  10         
Alice                                      server_score                                                      30
Jill                                           both_server_desktop_score                      10
Jill                                           desktop_score                                                   5
Jill                                           server_score                                                       5

Is this possible?  Any ideas?

[ITWhisperer]

...
| eval server_type=mvappend("both_server_desktop_score", "desktop_score", "server_score")
| eval Score=mvappend(both_server_desktop_score, desktop_score, server_score)
| eval combined=mvzip(server_type, Score, "=")
| fields server_org, combined
| mvexpand combined
| rex field=combined "(?<server_type>[^=]*)=(?<Score>.*)"
| table server_org, server_type, Score