I did a quick look on Ancestry.com and FamilySearch.

There are two people who have family trees listing some of the Reese family you are looking for zulu193 and gwendolynreese58. According to gwendolynreese58, Rebecca's last name was Davis.
Also according to gwendolyn, Frank Reese died in Queen's, New York on 23 May 1971.

I found a death certificate for Willie Reese
d. 11 Nov 1927
Harris County, TX
Father: Isaac Reese
Mother: Rebecca Davis

Another death certificate found for Lewis Reese
Louis Reese
d. 28 May 1938
Little River, Baldwin, AL
buried at Davis Cemetery
Birthplace is Blacksher, AL.
Father: Vince Reese
Mother: Eliza
Spouse: Ella
Occupation: Laborer