McNicol's diagnosis was made earlier this year after a cut on her finger, from an accident in the kitchen, wouldn't heal.
She underwent surgery to partially amputate her finger and a lymph node was removed from her armpit in April.
A biopsy from this operation confirmed that Jules had stage 3 Acral Melanoma.
The medical advice McNicol received was for her to commence a 12-month treatment of the new cancer drug Keytruda, but she would have to fund it herself.
The treatment was fully-funded by Pharmac for people with advanced stage 3-4 melanoma, which has spread and cannot be removed by surgery.
But for McNicol, whose cancer had not yet spread, the drug costed $69,000, and $790 would also need to be paid for each of the 17 infusions given every three weeks.
A Givealittle page has also been created for McNicol's treatment and has raised more than $53,000, as of Friday morning.
The auction closed at 8pm on Thursday night. Cane wore the jersey in his 54th test for the All Blacks.