At just 15 years old, Burgess played second for the Mary Fay rink along with, Jenn Smith and Janique LeBlanc and won the 2014 Nova Scotia Junior women's championship. They were the youngest team to win in 20 years., sending the four-some to the 2014 Canadian Junior Curling Championships to represent Nova Scotia. Despite their youth, the team finished with an 8–2 record, making the playoffs. The team would go on to lose to British Columbia, skipped by Kalia Van Osch in the semi-final, winning a bronze medal. The next year, the Fay rink won their second U21 Nova Scotia Provincials, earning the right to represent Nova Scotia at their second back-to-back Canadian Junior Curling Championship. The rink fell one step shorter than their previous year, finishing in a tie for fourth place with a 6–4 record. The Fay rink then qualified for the 2016 Canadian Juniors with their third provincial title. The rink finished in first place after the round robin with a 9–1 record, earning the rink a direct bye to the finals. In the finals, she played the British Columbia rink, this time skipped by Sarah Daniels, and won her first Canadian Junior title by defeating the British Columbia rink 9–5, and therefore representing Canada at the 2016 World Juniors in Copenhagen, Denmark. Team Fay has also won three Under-15 provincial championships and won the 2013 Under-18 provincial championships, as well as the 2013 U-18 Atlantics. They represented Nova Scotia at the 2015 Canada Winter Games after beating club mate Cassie Cocks 7–3 in the provincial final. While at the games Burgess and her Nova Scotian team went undefeated through the Round Robin, finishing with a perfect 5–0 record. According to the announcers when their game against Manitoba was televised on TSN, the Fay rink had the highest player percentages at every position and the highest team percentage after the first two draws. Their perfect record in the Round Robin earned them a bye to the Semi Finals. They once again played New Brunswick's Justine Comeau, after defeating her 7–5 in the Round Robin, and won on the last rock in the last end in a 7-6 decision. They went on to play Ontario in the Gold Medal Game, in which they lost 6–5 in an extra end. Jenn Smith and the Fay rink then parted ways after the completion of the 2014–15 season. Burgess and skip, Mary Fay along with B.C. curlers Tyler Tardi and Sterling Middleton would later be selected from curlers who competed in the Canada Winter Games to represent Canada in the 2016 Youth Olympics in Lillehammer, Norway. The rink, skipped by Mary Fay went undefeated in the tournament, winning the gold medal after a resounding 10–4 win against the United States of America in the final. The Fay rink would play in their first World Curling Tour event at the 2014 Gibson's Cashspiel, where they lost in the final to Mary-Anne Arsenault.
