Lord Dalhousie, who was the Governor-General of India from 1848 to 1856, made the statement "A cherry that will drop into our mouth one day" during the annexation of Awadh (Oudh). The phrase is attributed to his vision of the region as a valuable acquisition for the British East India Company.

Awadh was annexed in 1856 under the pretext of mismanagement and maladministration, as perceived by the British authorities. The annexation was part of the larger policy of territorial expansion and consolidation pursued by Lord Dalhousie. The quote reflects the attitude of the British colonial administration at that time, viewing Awadh as a desirable and advantageous addition to their holdings in India.

So, the correct option is [1].