However, a lump Mrs Hyndman found in her stomach was found to be a gastric tumour.
"Pregnancy masked the true symptoms," she said. "Normal people get an appetite back, but I seemed to not improve."
Mrs Hyndman said her 4-week-old baby, who she'd fondly nicknamed "Big Ben" was a "little angel" who was already fitting clothes for a 3-month-old, was smiling and "doing all the right things".
"He's a spitting image of his father, [Jeff] which is good, because he's good-looking."
But the support from her friends and family gave her faith her son would be well looked after.
"I have no fear that my baby will have the best care and will have a magical upbringing."
She was "overwhelmed" at the support friends, family and strangers who have donated to the family's fundraising Givealittle page.
Mrs Hyndman said she'd normally never ask, but she needed to know her husband and son were taken care of before she left.
"Before I leave I have promised everything will be in order."
Close friend Anna Seccombe, who'd established the page, said: "at a time in their lives that should be the most joyful", the couple had received the most "shocking news anyone could receive."
"Rebecca had gone from being a blissfully happy new mum, to a new mum looking down the barrel of chemotherapy.
I have no fear that my baby will have the best care and will have a magical upbringing.
"She has been told she has only a few months left to live, possibly less if the blood clots in her lungs are not able to be removed successfully."
Ms Seccombe said "true to form", her friend was focused on her little family rather than herself.
"This girl, faced with such a frightening diagnosis and the enormous weight of knowing she is going to be leaving behind many people who love her so much, is still smiling.
"She is still cracking funnies, she is still the bright, loving soul we all know and adore. There is still fire in her belly."
Another friend, Amber Bibby, said it was incredible to see the public support. "How people rally and support ... it's so meaningful."
• To donate: givealittle.co.nz/cause/hyndman