Loughlin, who has been with partner Keith Smith for seven years, last night paid tribute to her daughter - who was born on December 11 weighing just 1.13 kilograms - with a poem.
It reads: "Yesterday afternoon our hearts broke in two, / For we had to say goodbye to you. / Our love for you is a beautiful haze,
"Even though you lived for eight short days. / We kissed you, we cuddled you, we tickled your feet, / And I know again one day we'll meet. / Today brought a rainbow, the lightest of hue, / And I wondered if it was sent from you?"
Loughlin, who also has sons Tait, one, and Noah, two, added: "Our beautiful daughter Ally Louise, / I whisper your name and it drifts on the breeze. / The pain in my body and heart and my soul / Feels it will consume me and leave me un-whole.
"Your brothers will honour you in all that they do, / We forever have 3 children, not just two. / I will try to heal for you, and my body unfurl, You'll be always beside me our beautiful girl."
A serving officer in the UK's Metropolitan Police, Loughlin had been breastfeeding her son Tait when she noticed a rash on her breast - but two doctors dismissed her concerns as mastitis.
Once cancer was diagnosed, Loughlin, who lives in Portishead, Somerset was told she also had HER2, a protein that can boost the growth of cancer cells. To combat this, she would need the drug Herceptin - which could kill her unborn child.
She was offered a termination. But she instead began a form of chemotherapy considered safe in pregnancy. When it didn't work, doctors advised her to bring the birth forward, telling her that babies born at 28 weeks have a 90 per cent chance of survival.
Loughlin later said her daughter - who she called "a proper little fighter" - was "doing exceptionally". She added: "No mother dreams of having a baby at 28 weeks. But having a baby at 28 weeks is much better than not having a baby at all."
Tragically her daughter passed away aged eight days old on Saturday.
- Daily Mail