Is Savannah the old woman?

In the second season, in the year 2020, Zoey and Wyatt see an old woman watching the Tremont Hotel and think she is a ghost in one episode. In another episode they see her and are told she is Mrs. Barker who comes to the cafe once a week. She seems to have some sort of attendant and so may be a resident of a mental asylum or an old folks home.

And according to previews apparently there will be a scene in a future episode where she says "Don't go forward" to Griffin. Apparently she seems to know something about what is going own.

Savannah was probably 12 in 1990 and so born about 1978. In 1990 she went back in time to 1960, and in current episodes is in the year 1962. So Savanah is 14 in 1962, the equivalent of being born around 1948. It would be rather normal for Savannah to marry and become a Mrs. Barker sometime after 1962 but long before 2020.

If still alive in 2020 Savannah would be about 72 years old. If she told people about her time travel she could be put in a mental asylum, and if she is 72 years old she might live in a retirment community and be taken to town once a week by an attendant.

Is the old woman Savannah?