Nicola Bulley, 45, went missing on Friday morning – with her mobile phone found on a bench near to where she was last seen by the River Wyre.
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Ms Bulley’s partner Paul Ansell, speaking from the family home in Inskip, Lancashire, said he spent all of Sunday searching for the mother-of-two.
The engineer, who has been in a relationship with Ms Bulley for 12 years, said: “It is just perpetual hell. It is just utter disbelief.
“We are living through this but it doesn’t feel real.
Ms Bulley did the school run before heading for the dog walk on Friday, police indicated.
“I got a call from the school regarding somebody who had found Willow, and Nikki’s phone and the dog lead and harness on the bench,” Mr Ansell, who then called the police, said.
“We take the kids to school and take the dog down there – either myself or Nikki – nearly every day.”
Ms Bulley, a mortgage adviser, has lived in Lancashire for 25 years but is originally from near Chelmsford, Essex, and has a southern accent.
She was last seen by a member of the public at about 9.15am, police said.
Superintendent Sally Riley from Lancashire Police told a press conference that fears for Ms Bulley are growing as time passes.
“All we can say is we need to find her. She’s got two little girls that need their mummy home.
“We have got to get some good news now.”
Mr Ansell said he or Ms Bulley, also known as Nikki, would drop the children, aged nine and six, off at a local primary school before taking Willow for a walk along the river nearby.