A spokeswoman for Cornwall Council said it had received no formal notification of Collin Brewer's intention to resign, despite reports that the independent councillor has quit his job.
Cllr Brewer faced calls to go yesterday after it emerged he had suggested that disabled children "should be put down" to save money.
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Former Girls Aloud singer Kimberley Walsh is pregnant with her second child, she has revealed.
Chancellor George Osborne will seek to reassure financial markets on Monday morning following Britain's decision to leave the EU.
In his first outing since the referendum result, the lead Leave campaigner has outlined his vision for a post-Brexit Britain.