Edward Tesseyman Hepper married Ann Smith at St. Peter's, Bramley in 1878 (Yorkshire BMDs). Daughter Edith Ann was born 1880, Violet was born 1883 (Yorkshire BMDs). Edward and wife, Ann with daughter Edith Ann are shown in the 1881 census, but mistranscribed as "Hopper" (Ancestry.com). He was born in 1842 (not 1838) in Leeds, North (Yorkshire BMDs).
Edward is the son of Samuel Roberts Hepper and Mary Tasseyman. They were married in Kingston Upon Hull, Yorkshire 14 Sept 1834 (IGI). Samuel was a woolsorter and is shown with his family in the 1841 census (Samuel age 30, Mary age 25, Elizabeth age 4, Mary age 1).
It appears Samuel may have died about 1843 (see Free BMD), but certainly by 1851 since he disappears from the census. His wife may have also died during that decade, leaving the children to fend for themselves. Edward appears in the 1851 census at age 18 as a tailor's apprentice, but his name is again mis-transcribed as "Happer".
At any rate, Edward T. Hepper did marry Ann Smith and they appear with daughter Edith Ann in the 1880 census. He seems to have been a successful "master tailor" at that time employing 3 others. After he died in 1885 (Q/E Sept Free BMD), his wife remarried. She married George Dodgson in 1890 and they appear in the 1891 census with the two girls, Edith Ann and Violet.
Hopefully you can take things from here and march on with your research. Louise