She said the arrival of her daughter not only gave her strength, but her family too.
She said in the interview: "She [Ella Rose] has been a real positive focus for the family, and brings home to you the fragility of life in a sense.
"It’s the circle of life, my dad leaving us and her arriving."
Hawkins recalled a happy moment when she was able to tell her father she was pregnant, and was pleased that he knew she had a baby on the way.
She appeared on the show to raise awareness of her current campaign for Motor Neurone Awareness Month, and shared her own account of what she realised it was like to live with the disease.
She said her father described the feeling of walking through snow because his grip was going.
Hawkins broke down in tears during the interview after watching a clip of her interviewing her father.
She said the hardest thing was the lack of treatment available for the disease, which currently is only one drug.
The 39-year-old has previously gushed about becoming a mother for the first time with husband Mark Herbert.
The couple had been waiting a long time to become parents, and had been considering IVF when they discovered she was pregnant.
The presenter told HuffPost UK Parents: "I am loving being a new mum. Every day is magical as you never know what it will bring. It's amazing when she smiles at you, or laughs when you sing or pull a funny face."
She admitted holding Ella Rose for the first time was "overwhelming" but she was so grateful that she was there and arrived safely.
"She's developing so quickly you just want to hold onto each moment - she's going to be a teenager before we know it!"