This does it and could be fairly easily converted to dynamic SQL if you needed it to be.

SELECT t1.ID, t1.Name, ca.YrMnth, ca.Enrollment

FROM #Table1 t1

CROSS APPLY (

SELECT '201401',[201401] UNION ALL

SELECT '201402',[201402] UNION ALL

SELECT '201403',[201403] UNION ALL

SELECT '201404',[201404] UNION ALL

SELECT '201405',[201405] UNION ALL

SELECT '201406',[201406]

) ca (YrMnth,Enrollment)

;