Pauline Turner and her son James were found dead at their home in Ronkswood, Worcester, yesterday.
Both had been strangled and Mrs Turner had also been stabbed several times.
Police said a 24-year-old man from the Worcester area had been charged with both murders. It is expected that he will appear before magistrates today.
The woman's mother, Irene Warner, said: 'I am still in a state of shock. It is devastating.'
She said her daughter had been living in bed and breakfast accommodation for a year because the local council was unable to find her a home.
As a result her two older children David, aged seven, and Michael, six, had been looked after by foster parents.
Mrs Warner, 49, said: 'Pauline was over the moon when she was allocated the house in November and moved in at Christmas.'
She added: 'It meant they could live together again and she was looking forward to getting her boys back.'