Family First MLC Robert Brokenshire has presented a framed commemorative certificate to a South Australian woman Tarlia Bartsch, on the steps of State Parliament House.

He led efforts for the South Australian Parliament to consider recognition of babies lost before 20 weeks' gestation.

The Jayden's Law campaign was named after the child the Port Lincoln woman lost at 19 weeks.

Attorney-General John Rau said the change had been needed because current laws for a stillborn birth to be registered require it to have reached at least 20 weeks' gestation and the foetus to be 400 grams.

He said the commemorative certificates would be available from the Registrar of Births, Deaths and Marriages at no charge and had no legal status.

"Plain or commemorative certificates will be made available to any mother who has suffered an early loss of pregnancy, even if it's been in the past, as long as they have the appropriate letter from health professional," he said.

"This decision has been made following extensive consultation with medical professionals."

A bill introduced by Mr Brokenshire to change the registration requirements remains before the Parliament.