Identify the phrase where an error exists in the sentence about secret-keeping.

In analyzing the sentence regarding secret-keeping, it is essential to consider standard grammatical and stylistic conventions. The phrase "my parents and I have always been close" presents no errors in terms of grammar or usage, as it correctly uses the subjective pronoun "I" after the conjunction "and."

The phrase "discovered that they had been keeping" is also correct; it properly uses the past perfect continuous tense to indicate an ongoing action that was completed in the past.

When examining the phrase "kept a secret from my siblings and me," it is crucial to note that "me" is the appropriate pronoun to use in this object position following a preposition.

Given this context, the identification of "No error" as the correct choice indicates that each phrase is grammatically sound, adhering to English language conventions without any mistakes. Therefore, the assessment that there is no error in the overall construction of the sentence stands robust.