"If I had a drink after work I was always sick and people would joke that I was pregnant and I'd be like 'if I was pregnant, I'd be eight months' pregnant now' — that was kind of the running joke at work for a while," she admitted.
Smith says she had "really bad back pain" when she would have been seven to eight months' pregnant, but again passed it off as just an ache from moving heavy deliveries at work.
"Everything I had an answer for — there was nothing out of the ordinary," she insists, adding it was only when she was seen by a paramedic, who could see the baby's head, that she realised she was about to become a mum.
In March last year, Smith had been working and fell asleep after her shift, but woke up with what she thought were intense stomach cramps.
Phoning her sister for advice, Smith then got into the bath and that's when she thinks her waters must have broken.
Paramedics arrived at her home to take her to hospital, and the mum recalled: "[The paramedic] walked in and I was lying on the floor and she said 'well, we can see a head, you're definitely having a baby'.
"That's when I was kind of like 'okay' … we got in the ambulance and we could already see his head and as we were pulling up to the hospital, that's where I gave birth."
At first, she remembers freaking out over becoming a mum, but says any doubts or concerns she had soon vanished when she held her son for the first time.
Smith, who finished uni months before giving birth, says: "When I was giving birth I remember thinking 'well I can't have a baby, I'm 23, I've just been promoted so how am I meant to look after a baby when I work such long hours?'
"As soon as they put him on my chest I was alright because he was there and completely fine. "I was just so calm.
"Not to sound corny but I was just completely in love. I was like 'right I'm fine, I'll be able to do it because he's here,' I was filled with love and totally obsessed with him from the start."
Shortly after welcoming her son Gabe, Smith says lockdown hit and while her family were super supportive over her new arrival, many of her friends were shocked to hear she'd had a baby.
As well as telling her friends, the new mum had to tell her ex-boyfriend, Gabe's father, that she'd had his baby.
The pair had dated at uni but split in July 2019, eight months before Smith gave birth.
Initially she texted him asking for him to ring her and broke the news over the phone, but says her ex was "really supportive".
Because of the coronavirus pandemic, Gabe's dad wasn't able to meet him for the first few months and Smith admits it was difficult having to deal with a newborn.
Pushing through it, she says having Gabe is the "best thing" that has ever happened to her.
"He's just the cheekiest little lad in the world and is so funny," she gushes.
"Just the loveliest little lad, he's just such a dream."