Step 1: Identify the Botanical Garden.
The Royal Botanical Garden generally refers to famous botanical institutions, and in this context it refers to the Royal Botanic Gardens located in the United States (often associated with major botanical research institutions).
Step 2: Match with options.
From the given options, Lucknow and New Delhi are in India, England is in the UK, and America is the correct match based on the given question reference.
Step 3: Final conclusion.
Therefore, the correct answer is America.