Bernard Mayhle's research notes state the following:

ANNA Hendrickdotter COLEMAN (Princess Anna BRIGHTLIGHTNING-2, Chief (Holy Big Thunder)-1)  was born
about 1674 in Upper Penns Neck Salem Co NJ.  HER MOTHER WAS A DELAWARE INDIAN
 Captain Charles E Hoye the early historian of the
area states that the Indian Heritage came thru 
 John the first who married Anna Coleman.He states
that Anna's mother an indian maiden who attracted
 Anna's father Henry Coleman when he was a refugee
from the Delaware Colony in the 1600's and lived in
 the Indian Village.Henry Coleman was an educated 
Finn  who spoke several languages and acted
 as an interpreter between the Swedes ,Dutch,English,
and Indians.