Rachel, 30, says Bobby is often compared to X-Men character Wolverine, with strangers sometimes mistaking him for a girl.
Bobby has his hair washed and blow dried daily to tame his boisterous mane and has hardly lost a strand since the day he was born.
'My eldest son, Frankie, was born with a lot of hair but not as much as Bobby,' Rachel, from Merseyside, says.
'When we went for our gender scan the nurses were sure I was having a girl because we could see that the baby had so much hair.
They had never seen a scan photo like it before.
'When he was born, he was like a celebrity, the doctors were calling people around to come and look and everyone on the ward wanted to hold him,' she added.
Rachel says that even now, when she walks down the road, people stop to stare at baby Bobby.
'One lady even stopped her car in traffic and shouted 'Oh my god, look at that baby's hair',' she laughs.
Rachel and Gareth, 29, have even set up an Instagram page for their son so the world can see his luscious head of hair.
His proud mum says: 'We decided to set up the page as a way to document him growing up.
'My mum told me that I was born with a lot of hair too but he gets his hair colour from his dad.
'I have to blowdry it otherwise it stands on end and people think he looks like Wolverine, he finds it relaxing and even plays with his hair to send himself to sleep.'
Rachel has to keep baby Bobby hidden inside his pram just to get around her local supermarket without causing too much of a stir.
'Otherwise, we end up being there for hours with everyone stopping to talk to us,' she says.
'He was quite a timid baby but now he is starting to come out of his shell because of the all the attention he gets.'