Final answer:
Grover Cleveland had a daughter named Esther, who was the first baby born in the White House, during his second term in 1893.
Step-by-step explanation:
The president from 1893 with a daughter named Esther who was the first baby born in the White House is indeed Grover Cleveland. While Theodore Roosevelt did become the youngest president after the assassination of William McKinley in 1901 and certainly had an impactful presidency, he is not the correct answer to this specific question.
Grover Cleveland served two non-consecutive terms as President, and his daughter Esther was born during his second term, on September 9, 1893.