In the 1860 US Census, Elizabeth was 8 years old, living with father “E W” [Elisha Wheat], mother Abigail J, and probably siblings Emma, John, Millenium, Amanda, and Peter. Born in “U,” probably meaning Utah.
1860 United States Census, 19th Ward Salt Lake City, Salt Lake, Utah Territory, population schedule, p. 193, digital image (https://www.familysearch.org/ark:/61903/3:1:33S7-9BSF-94Z7?i=7&cc=1473181: accessed 14 September 2017), dwelling 1414, family 57, citing Elizabeth Vanetten.

In the 1880 US Census, Elizabeth was living with husband John J., son [John?] Frances, daughters Cary, Ema and Florence, and Alvery Bernum, a “server” or possibly “Serven[t]” in Richmond, Cache Valley, Utah.
1880 United States Census, Richmond, Cache, Utah Territory, population schedule, ED 13, p. 236D, digital image (https://www.familysearch.org/ark:/61903/3:1:33SQ-GYBJ-8R2?i=1&cc=1417683: accessed 14 September 2017), dwelling 19, family 19, citing Elizabeth Bullin.

In the 1900 US Census, Elizabeth was still living in Richmond with her husband John J, and her children John F, Blanche, and Lulu. Born April 1852. Married 30 years, 9 children, 3 living.
1900 United States Census, Richmond, Cache, Utah, population schedule, ED 83, p. 329, sheet 3B, digital image (https://www.familysearch.org/ark:/61903/3:1:S3HY-68KR-DY?i=5&cc=1325221: accessed 14 September 2017), dwelling 62, family 65, citing Elizabeth Bullen.

In the 1900 US Census, Elizabeth is listed living in Richmond with her husband, John J. Bullen, her son John F., and her daughter Lulu. She is 58 years old, has been married for 40 years, is still on her first marriage, has 9 children, 3 of whom are living, and was born in Utah.
1910 United States Census, Richmond Precinct, Richmond City, Cache, Utah, population schedule, ED 29, p. 226, sheet 7A, digital image (https://www.familysearch.org/ark:/61903/3:1:33SQ-GYBD-1M9?cc=1727033: accessed 14 September 2017), dwelling 119, family 121, citing Elizabeth V. Bullen.

The 1920 US Census lists her as living with her son John and daughter Lulu in Richmond.
1920 United States Census, Richmond Precinct, Richmond City, Cache, Utah, population schedule, ED 35, p. 257, sheet 9A, digital image (https://www.familysearch.org/ark:/61903/3:1:33S7-9RN8-XLK?cc=1488411: accessed 14 September 2017), dwelling 184, family 184, citing Elizabeth Bullen.