Last winter, the Government instructed people to stay in their homes in an effort to curb the spread of Covid-19, but at least 11 families with children were thought to be without a permanent place to live when lockdown lifting began in spring.
Experts are now calling for more social housing to be built in a bid to prevent youngsters spending their early years in "grossly insecure" and poor quality accommodation.
Data from the Ministry of Housing, Communities and Local Government estimates that there were 28 children among the families in Bassetlaw staying in temporary accommodation on March 31.
The local authority was one of 16 across England to provide incomplete data for the latest publication, meaning only an estimate based on previous figures could be given.
An MHCLG spokeswoman said the number of children in temporary accommodation had fallen 6.5% between March 2020 and March this year, with the Government "determined to reduce this further".
But stark figures show that four in every 1,000 households in England were in temporary accommodation in March and almost 120,000 children had no permanent home.
Darren Rodwell of the Local Government Association, which represents councils, described the figures as tragic, adding: "Having a safe, secure, permanent home is the bedrock of any child getting the very best start in life.
“This is a sad reflection of the lack of housing in this country and demonstrates the urgent need to build more social homes.
“This won’t happen overnight, but it is vital that councils, working with government, are given the powers to get building homes again at a scale that drastically reduces homelessness, as we look to build back the nation following the pandemic.”
Polly Neate, chief executive of housing charity Shelter, said thousands of children were paying the price over a failure to build enough social housing in the UK.
She said: "Without a home, children are spending their vital early years trapped in grossly insecure and often poor-quality temporary accommodation.
"We know from our own services and research that living in one room in a homeless B&B or hostel, with precious little space to sleep, eat or play, can seriously harm a child’s wellbeing and development.
“The bottom line is you cannot solve homelessness without enough homes that people can actually afford to live in.”
The MHCLG spokeswoman said decisive action to reduce the need for temporary accommodation, backed by £310 million funding for councils, was being taken to prevent homelessness before it occurs.
She said: "This is part of £750 million this year alone to tackle homelessness and rough sleeping.
“We are also investing over £12 billion in affordable housing over the next five years to help housing associations, councils and others deliver new homes – including up to 180,000 new homes, should economic conditions allow – with half for affordable and social rent.”