This section is from the book "Two Years' Course In English Composition", by Charles Lane Hanson. Also available from Amazon: Two Years' Course In English Composition.
Pronouns in -self are emphatic or reflexive. We say,
I prefer to attend to that myself. Let him fight it out for himself. Know thyself.
But we ought not to say,
Another girl and myself took a walk this afternoon. We never think of saying,
Myself took a walk.
228. In copying the following sentences, substitute other pronouns for those in parenthesis whenever you think best.
1. John and (I) are the two eldest boys in the family.
2. He will probably write you, as he has already written (myself), that he needs us both.
3. The prize will come to either you or (myself), and neither of us should allow (ourselves) to be disappointed over the result.
4. You have done better than (I).
5. Some credit should be given (myself) if I do say it (myself).
 
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