They were married on Monday, 11 February 1985 by the Navy chaplain LCDR Don Jukam, with appropriate witnesses from the station and NSF. Here's the 13 February Christchurch Press newspaper article.
Sadly, I did not learn of this event until late June 2011 when I received word of Patricia Chambers' death. She'd been an HR representative with Holmes & Narver and ITT/ANS for 8 years, and she married Randy Chambers at Pole on 11 February 1985. Below: her obituary with photo, originally published in the Las Vegas Review-Journal (link to original obituary).
CHAMBERS, (MANGLICMOT) PATRICIA Dec. 6, 1952 to June 15, 2011 Patricia (Patty) Chambers was born December 6, 1952 in Virginia. However, as a child, she was raised primarily in Chula Vista, CA. In her youth, Patty danced and was in the marching drill team throughout high school. She was crowned Miss Philippines of San Diego when she was 18 years old. Patty was adventurous and loved to travel. She worked in Human Resources in the Antarctica for eight years where she met the love of her life, Randall Chambers. Patty and Randy were the first couple to be betrothed at the South Pole on February 11, 1985. Upon returning to the states, she continued work in Human Resources at Sierra Health Services in Las Vegas, NV. She was a lifetime member of the Amateur Trapshooting Association and devoted member of the Las Vegas Gun Club. Her greatest joy came from being surrounded by her family and friends. She is survived by her husband, Randall Chambers, her parents Ernesto Manglicmot of Bonita, CA and Katherine Greene of Vancouver, WA, and her stepparents, Teresita Manglicmot and Henry Greene, respectively; her siblings, E. Gregory Manglicmot of Dallas, TX, Phillip Manglicmot of San Diego, CA, and Barbara Schneekluth of Vista, CA, Susan Dillard of Portland, OR and Laura Manglicmot of San Francisco, CA. She is also survived by her mother-in-law, Mary Kain and sister-in-law, Mary K. Miller as well as by her nephews and nieces; Alexandria, Mark, Kara, Geoffrey, Morgan, Ryan, Tori, and Malia. Patty's warm and friendly smile will be missed by everyone she knew. A memorial service date is pending.