The former Hear'Say singer revealed that her son, whose arrival she officially announced on Twitter on the 6th October, has been named Rafferty Vincent, or 'Raffi'.
The newborn features on the cover of OK! Magazine this week with Suzanne and her fiancé Sam Greenfield.
The Dancing on Ice star revealed that she practiced the hypno-birthing method, setting up a pool in her kitchen; 'I was pushing this little man out, and Sam caught him. It was wonderful.'
First-time-dad Sam explained how the couple had planned the whole labour so they weren't caught short when Suzanne's contractions started in the middle of the night.
'We had an itinerary, so as soon as Suzanne said: "This is it" I got that sheet of paper out and knew what to do.'
Weighing in at 8lb 2oz, the proud father revealed how he had been so overwhelmed by the experience of Rafferty's arrival he had wanted to join in; 'It was so lovely, I wanted to jump in [the birthing pool] myself!'
Whilst the birth was a low-key affair, Suzanne's mum was also present; 'We were all crying, including Mum who'd never seen anyone give birth. It was the most amazing feeling in the world.'
New father Sam explained how he wants to be a 'hands on dad' but did struggle with changing the first nappy; 'I did the first one - and I put it on upside down! I've nailed it now, though.'
Baby Rafferty joins the family-of-four, and is Suzanne's youngest son; her eldest, Corey, was born in 2005 with ex-partner Darren Day.
The couple made their pregnancy announcement in a cute Valentine's Day video, having been engaged since June 2014 after dating for one year.
Suzanne was voted Celebrity Mum of The Year in 2008 by the public.
Read the full interview in this week's Ok! Magazine.