The women who made the sketch out was the daughter of Eugene Frank (name could be reversed) and I think she was calling Esther by that name threw personal contact (she could have made an error, she is now dead).
She also recorded the relationships, no dates. She said the family used Kakat Cemetery in Wayne County but it is too far to visit and wasn't on line the last I looked.
I was able to do census work to establish a daughter was called Maryetta but no daughter was called Esther. I haven't done a probate for James or his wife.
I really am working from guess work that they are the same women and my source did not make an error. The best advise would to get the primary documentation for (death certificate) Maryetta as I gather she is a direct an cestress before going further.
At least two of your closer cousins are active in research and might have covered some of the research ground already. I am not in contact with them, but am aware they have added new work. It might take awhile.