We have no parental records for Elizabeth Simmons, but given that she was born in the colony her parents must have arrived before 1644 leaving only one none candidate.

AS WITH MOST NAMES, THE SIMMONS NAME IS FOUND WITH MANY DIFFERENT SPELLINGS IN THE EARLY RECORDS. WHILE THE SPELLING ''SIMMONS''HAS BECOME STANDARD FOR MOST OF THE FAMILIES OF THIS LINE THE NAME CAN
BE FOUND SPELLED AS: SIMMONDS, SIMONDS, SIMONS, SYMONS, SYMMONS, SYMMONDS, SIMEONS, AND A FEW OTHER FORMS.

THERE ARE EARLY VIRGINIA RECORDS THAT SHOW THREE EARLY SIMMONS ARRIVALS IN THE VIRGINIA COLONY; OLIVER SIMMONS LANDED IN 1638, THOMAS SYMMONS IN 1644, ROGER SYMOND IN 1646.