There are a number of Elementary schools named Monroe Elementary School:
Monroe Elementary School (Santa Ana, California) Monroe Elementary School (Davenport, Iowa), NRHP-nominated and possibly NRHP-listed Monroe Elementary School (Monrovia, California) Monroe Elementary School (Norman, Oklahoma) Monroe Elementary School (Boiling Springs, Pennsylvania) Monroe Elementary School (Monroe, Utah) Monroe Elementary School (Everett, Washington)
Also: Monroe Elementary School (Topeka, Kansas), is home to Brown v. Board of Education National Historic Site