A private pathologist hired by the family is expected to participate in the today’s post-mortem.
Her family called for an independent investigation following her death.
There have also been calls for President Anthony Carmona to launch a Commission of Inquiry into the health care system in Tobago.
Yesterday, the Tobago House of Assembly (THA) appointed doctor and lawyer Albert Persad to chair an independent investigative team into the deaths Mitchell-Sheppard, her son Ajani and two other mothers and their babies.
THA Secretary of Health, Claudia Groome-Duke said the investigation should begin once the autopsies are completed.
The investigation is expected to take two weeks.
An interim report will then be submitted to the chairman of the Tobago Regional Health Authority (TRHA) within one week.
The final reported will be handed in two weeks later.
Secretary Groome-Duke added council will be provided for everyone involved.