Mary Elizabeth Carver (1842-1885) married Hezekiah M. Bush (1847-1918) on 11 Sep 1869 in Barren County, Kentucky. They had daughters Elverta, Eldorado and Alice; and a son, George W. I feel, because of the similarity of names across generations that this is your family, although different in its composition. Elverta Bush was born in 1880 and died 1923. Any nice, but old photos would probably have been taken after 1870. Or, if taken earlier, they would have to have been printed (after about 1870) on paper, from positive glass plates or metal as in tintypes or daguerrotypes.
In 1870, Mary and Hezekiah, newly-married, were living in Tracy, Barren, Kentucky. Two residences away were John P. and Mary F. Carver. They were very young (ages 40 and 42) to be Mary’s parents, but could be related to her.
Buried in Mount Olivet Baptist Church and Cemetery, Austin, Barren, Kentucky, USA is Hezekiah “Kiah” Bush, born 25 Mar 1833, died 2 Mar 1917. He was a son of Walter Bush and Cynthia Ann Whitney.
Buried in Mount Olivet Baptist Church and Cemetery, Austin, Barren, Kentucky, USA is H. M. (Hezekiah M.) Bush, born 5 Mar 1847, Kentucky, USA, died 2 Feb 1918 Barren, Kentucky, USA. His father was Peter Bush, born Kentucky and his mother Lucy Franklin, born Virginia.
I believe the older Hezekiah Bush, who was single in all of the census records, is an uncle of the younger, and a brother of Peter Bush.
Buried in Mount Olivet Baptist Church and Cemetery, Austin, Barren, Kentucky, USA is Elvirtie (Elverta) Bush Rigney, born 8 Feb 1880, died 7 Jan 1923. She married Augustus Travis Rigney (1884-1962).
Buried in Mount Olivet Baptist Church and Cemetery, Austin, Barren, Kentucky, USA is Mary E. (Elizabeth) Carver Bush, born 6 Jan 1842, died 2 Sep 1885.
Buried in Pleasant Home Cemetery, Barren, Kentucky is Maud W. “Maudie: Bybee Bridges, born 1 Mar 1884, Tracy, Barren, Kentucky, died 18 May 1973, Lucas, Barren, Kentucky. She is daughter of Francis and Susan Rigdon Bybee. She married Galen S. Bridges (1866-1935).
Perhaps the best place to discover Cricket and Sugar (undoubtedly nicknames) would be to look at FindaGrave.com and look at all of the Bridges, Carver and Bush information. Many family relationships are given at that site. Compare the photo with the birthdates.