Health Secretary Wes Streeting said he was grateful to NHS staff who have embraced the campaign and "most of all to Merope and Paul and the Mills family for their campaigning efforts".
He promised to share the latest results with colleagues in Scotland, Wales and Northern Ireland.
He said he had "seen and heard similar experiences where mothers were not listened to in maternity services".
"So I do think that there are common issues here for the NHS to learn from in terms of listening to patients, listening to women in particular, and making sure that we respond in the right way, in the right place, at the right time to avoid harm and in worst cases, fatalities."
On Radio 4, Ms Mills read out an email she had received from a Today programme listener who believed the life of a child in her family had been saved after calling the hotline.
She read: "I followed Martha's story on Radio 4, never thinking anyone I knew would need to use Martha's rule.
"Thank you from the bottom of my heart for everything you have done and are doing to raise awareness and to empower people in an environment where we all naturally feel intimidated."
Ms Mills said while she knows some people feel the word patient doesn't apply to them: "The reality is we are all, as I know, one disaster away from it being about us...
"It could be your mother, it could be your sibling, God forbid it could be your kid who one day needs this," she said.