Hundreds of people have left their condolences on a special Facebook page set up in tribute to the family that died in a head-on collision near Grimsby.
More than 33,940 people joined the R.I.P Cockburn Family page on the social networking site within a few hours.
One person posted, "So so sad xx dancing with the angels now x R.I.P xxx".
Another left a message that read, "Dance in heaven beautiful angels x".
Many left anecdotes about the family on the page, with one describing Mr Cockburn as "a gentle kind man" who was "totally devoted to his family".
A number of people also posted tributes on Bethany Cockburn's personal Facebook page, on which she described daughter Lacie as "Our world!".
More top news
This evening it'll become largely dry across the UK as the showers in the west gradually die down.
Multiple fatalities have been reported after an attack on a centre for disabled people near Tokyo, Japanese media reports suggest.
In a blog, basketball great Michael Jordan spoke out about the recent killings of both unarmed black men and police in the US.