Ana Jardim and Sam Craigie say their training kicked in after they heard Oliver's mother's screams.
The replacement hospital in Huntingdon is expected to be open by the end of 2032.
The new hospital in Huntingdon, Cambridgeshire, is expected to open by the end of 2032.
The unit will help the NHS treat and diagnose patients more quickly, says a health trust boss.
North West Anglia NHS Foundation Trust says it is running a Mutually Agreed Resignation Scheme.
The programme checks for human papillomavirus, which is the main cause of cervical cancer.
A trust says it has had its most successful appeal as it received 7,000 donations for children.
Hospitals' patron Craig Revel Horwood helps more than 250 guests raise funds for cancer services.
Women across the East of England are now able to self-refer to local maternity services online.
