Paula Peters remembers the last major anniversary of the historic voyage in 1620 of the Mayflower from Plymouth, England, to Plymouth, Mass. It was in 1970. She was 12. “It did not go well,” recalled Ms. Peters, a member of the Mashpee Wampanoag Tribe. Frank James, whose Wampanoag name was Wamsutta, was invited to give a speech, but was prevented from delivering it because the event’s organizers “didn’t like what he had to say.”

This year’s 400th anniversary promises to be different. “It will include all the things Frank James wanted to say and then some. It’s an opportunity to take our story out of the margins and onto an international platform,” said Ms. Peters, who through SmokeSygnals, a marketing and communications agency, curated and consulted for exhibitions and programs on both sides of the Atlantic. “What’s most important to stress is simply that we are still here.”

The Wampanoag Nation, encompassing the federally recognized Aquinnah and Mashpee tribes, are equal partners in the yearlong commemoration with Plymouth 400 in the United States, Mayflower 400 in the United Kingdom, and Leiden 400 in the Netherlands, umbrella groups for museums and organizations that are hosting Mayflower-related events in their respective regions.

“We are changing the narrative at this moment in history,” said Michele Pecoraro, executive director of Plymouth 400. Today, she said, “it is all about a shared history among four nations, that looks at it from that perspective probably for the first time. The Wampanoag involvement is a first. The Netherlands involvement is a first. Those added perspectives offer more of a balanced picture.”