Blake, a 400 metre relay runner who went to the London Olympics as an alternate but did not compete, tested positive for the stimulant methylhexanamine at Jamaica's senior trials in June.
Her case was adjourned until December 3 after her attorney was given the wrong court documents. Blake's lawyer said she intends to challenge the doping charges.
Cunningham, who tested positive for pseudo-ephedrine but is arguing 'no fault or negligence,' had his case adjourned until November 1 so that a doctor could appear in person to testify on his behalf.
Cunningham won the 800m national title at the Jamaican trials but was not selected for the Olympics because he missed the qualifying standard.