A colleague at Luxx Light Technology, where Mrs McHugh worked as a PA, said that everyone at the firm was in shock at her death. She had only recently returned from maternity leave.
Chief Executive George Leonidou said: "She was a lovely lady, always smiling, she loved her family and her children. She was a brilliant PA and had been with me for four years. She was the most conscientious worker I've ever had.
"We all miss her. The whole office and warehouse is in shock and we're just trying to work our way through it today. Yesterday was a very bad day.
"She will be sorely missed by everyone who knew her."
He added: "She was non-confrontational, but she would have been fiercely protective of her children.
"She was blocked in trying to get her five-month-old daughter into the car and another car had parked, so that she couldn't do so.
"I know that Christie would have asked the person in a polite way to move their car. But I was told the other person was very aggressive and totally out of control.
"However bad your day has been it clearly doesn't give you the right to do that to someone in front of their children.
"We all miss her here, but we're talking about someone leaving a five-month-old daughter who will never know her mother, a five-year-old boy who is constantly asking when mummy's coming back."
A woman who died following a suspected dispute with another driver has been named locally as 33-year-old Christie McHugh.
It's believed she died after being carried along on the bonnet of a car, before falling off and hitting a Belisha becon, outside the Lord Kitchener pub in Barnet.
A message on its Facebook page said: "After yesterdays sad and tragic accident. paul and all the staff send there [sic] deepest condolences to john and the kids and christie's family. and a most sincere thank you to all the friends and customers that helped after the accident."
Ms McHugh's friend Alice Cole said she had asked another woman to move her car.
She told the Daily Mail: "Christie came out to put the kids in the car which was blocked.
"She asked the woman to move the car and the woman got quite verbal. Christie has stood in the way and she has gone into her.
"Christie stood blocking the car park to say, 'Stop, I want to have a word with you about being so rude'. The woman has accelerated and put Christie on the front of the car.
"Then she's accelerated even more. Christie hit the lamppost at a height and then slumped down and the rest is history."
A post mortem examination is scheduled to take place on Mrs McHugh's body later today.
Police have launched an investigation into the death of a woman in Barnet, who is believed to have been involved in a dispute with another motorist.
The woman, who is thought to be in her 30s, was pronounced dead at the scene on East Barnet Road at around 6:40pm on Monday evening.
A post-mortem examination is yet to take place but she had sustained head injuries.
Police say initial inquiries suggest that she had left her vehicle, and then been carried on the bonnet of another car, before falling and colliding with a Belisha beacon. The other vehicle then drove away.
Police have since arrested a woman at an address in Barnet in connection with the incident. She has been bailed pending further inquiries.