A teenage boy who was a passenger in Mr Welford’s car is in a serious but stable condition in hospital.
“It is with profound sadness to confirm the death of PC Rosie Prior on Saturday morning,” North Yorkshire Chief Constable Tim Forber said.
“This is clearly a deeply traumatic and heart-breaking event for everyone involved.”
PC Prior’s family described her as “a loving mum, wife, daughter, sister, aunty and will be deeply missed”.
Mr Welford’s family said he was a “hard-working and loving father, husband, son and brother. He will be greatly missed by his family and friends.”
Police have issued an appeal for witnesses and motorists with dashcam footage to get in touch by emailing mcit@northyorkshire.police.uk quoting reference number 12250006038.