Victims in France are being compensated by the French government, as the country has a state-run compensation scheme for those affected by sodium valproate.
However, many French families have also launched civil cases against Sanofi.
French mother-of-two Marine Martin, from Perpignan, said she was awarded €300,000 (£263,366).
“What will the children do when their mother and father die? Who will care for them?” Mrs Martin asked the BBC.
“It’s a shame for the UK government not to give money for the victims of valproate.”
Mrs Martin’s lawyer, Charles-Joseph Oudin, said Mrs Stockley-Pollard and other UK victims “needed to go back to fight in court and against the government”.
“I can’t understand why there is no such fund in the UK,” he added.