Hi, Denise. The only Tates that I know who are living and may be able to help you are Gwen and her daughters in New Jersey. Please write her.
Mrs. Gweneth Hurling
51 N. Willow Street Montclair, NJ 07042
(973) 746-2533

Her mother was Harrison Tate's (Hortense tate's husband) sister. It seems that there were 10 or twelve of them. So she may know about your Great aunt. Good luck. You can mention that I gave you the referral.
Fondly, Alice