A very simple answer if you say you don’t care which address is used.
SELECT
CName, MIN(AddressLine)
FROM
MyTable
GROUP BY
CName
If you want the first according to, say, an “inserted” column then it’s a different query
SELECT
M.CName, M.AddressLine,
FROM
(
SELECT
CName, MIN(Inserted) AS First
FROM
MyTable
GROUP BY
CName
) foo
JOIN
MyTable M ON foo.CName = M.CName AND foo.First = M.Inserted