"We know we are not alone, and that there's other families that have experienced what we have," said Amarjit.
Fiona added that "we can't quite believe it yet".
"I think the scale of this inquiry will be enormous. There are so many people who don't even know they are victims yet and it is going to snowball at an alarming pace," she added.
Streeting said he was "shocked" by the bereaved families' stories and the "repeated maternity failures" that were "made worse by the unacceptable response of the trust".
"I do think there is an exceptional case in Leeds to have a Nottingham-style independent inquiry into the failures," he said.
Nottingham University Hospitals Trust is at the centre of a public inquiry that will examine 2,500 cases of maternity failings on a national level.
Streeting said he hoped the Leeds inquiry would help the families to learn the truth about what went wrong in their care.
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