"It's been thrilling to see them."
The medals are presented in "court style", meaning the ribbon is folded around thin board.
Jack Dunn was one of 28 New Zealand servicemen court-martialled during World War I, and the first New Zealand soldier to be sentenced to death.
He was court-martialled after falling asleep during sentry duty at Gallipoli, but the sentence was remitted owing to previous good conduct.
He died three days later on Chunuk Bair.
It is possible the ribbon has been replaced, but there's no doubt whose medals they are.
Dunn's name is clearly engraved on the rim of each medal.
Heaton Haglund previously told the Times-Age the medals were a "taonga" of Wairarapa and he wanted to see them returned home.
He funded the $5610 bid and gifted the medals to Aratoi on their arrival.
Ms Hutchison plans to put the medals on display for the Anzac Day commemorations at Tinui, but they will likely be placed safely in the collections store after that.
Aratoi ramped up their security after thief Sharnie Rimene stole a medal from a display case at Aratoi in November.
Ironically, he failed to turn up to court yesterday for sentencing, prompting an arrest warrant to be issued.
Ms Hutchison had prepared a victim impact statement for the court.