• SELECT

    TableSource = CASE WHEN T1.[Name] IS NULL THEN 'Table2' ELSE 'Table1' END,

    T1.[Name],

    T1.[Address],

    T2.[Name],

    T2.[Address]

    FROM [dbo].[My Table 1] T1

    FULL OUTER JOIN [dbo].[My Table 2] T2

    ON T1.[Name] = T2.[Name]

    WHERE NOT T1.[Name] = T2.[Name]

    “Write the query the simplest way. If through testing it becomes clear that the performance is inadequate, consider alternative query forms.” - Gail Shaw

    For fast, accurate and documented assistance in answering your questions, please read this article.
    Understanding and using APPLY, (I) and (II) Paul White
    Hidden RBAR: Triangular Joins / The "Numbers" or "Tally" Table: What it is and how it replaces a loop Jeff Moden