"National Journal" (Washington, D.C.) (June 2, 1827), p. 1: “The outlaw whose ‘name was Captain Kidd, as he sailed, as he sailed.’”

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"Daily Richmond [Va.] Whig" (Aug. 5, 1842), p. 1: “The old ballad…begins thus:

        My name was Captain Kidd,
                As I sailed, as I sailed.
        My name was Captain Kidd,
                As I sailed.
        My name was Captain Kidd,
            And God’s laws I did forbid,
        And so wickedly I did,
                  As I sailed.

       I murdered William Moore,
            As I sailed, &c.

“But we will not give the whole, as we mean, on the occasion of the first symposium in New York, to sing the whole song, with such nasal accompaniments as we remember to have listened to, as this remarkable song constituted the musical relief to the yarns of the forecastle.

“Forty years ago we were rather distinguished for singing that ‘sea anthem,’ not exactly for the delicacy of the tune, as for the distinctiveness of the words. And to confess the truth, not so much for the words as they were written, but rather as they occurred to us, to eke out the tune.”

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Amy Lothrop, "Dollars and Cents" (1852):

“And Candlish [a little boy] begins to sing

"My name was Captain Kidd,
    As I sail’d, as I sail’d,
My name was Captain Kidd,
          As I sail’d.
My name was Captain Kidd,
And the law did forbid,
That so wickedly I did,
    As I sail’d, as I sail’d,
That so wickedly I did,
          As I sail’d.

“I’d a Bible in my hand,
      As I sail’d, as I sail’d,
I’d a –

“But Kate laughingly stopped his mouth, and declared he should not go on.”

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"Columbus [Ga.] Sunday Enquirer" (Feb. 8, 1875), p. 2: “That abominable song, ‘My name is Captain Kidd, as I sailed, as I sailed.’”

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There are eight stanzas in William Allen Hayes, "Selected Songs Sung at Harvard College, from 1862-1866" (1866).