Hi,
I'm also researching in Hawkinsville, GA (MOBLEY). BTW, Hawkinsville is in Pulaski County. While looking, I found this:

1910 > Georgia > PULASKI > 542-MILITIA DIST

Series: T624 Roll: 208 Page: 172

Ward, Will-head B-age 30 married for 6 years ?? in a livery stable
Ward, Henrietta-wife B-age 28? 3 children 1 alive cook in a private home
Ward, Carrie, L- daughter B-age 1 6/12
Looks like these could be your folks. This page is a little hard to read.
Also in the same town, there is another family;
1910 > Georgia > PULASKI > 542-MILITIA DIST
Series: T624 Roll: 208 Page: 166

Ward , Will head B age 28 M laborer odd jobs
Ward, Henrietta?-Wife B age 24 M 3 children 2 alive cook in a priv family
Ward, Carrie L -B daughter age 4
I noticed several other Ward families in Hawkinsville too.
Hope this helps.
Bebe