Additional information about their life in the US would be helpful. Looks like they were married in 1893, so Thomas' birth year must be incorrect as you posted it.
Name: T L Zimmerman
Titles and Terms:
Event Type: Marriage
Event Date: 29 Oct 1893
Event Place: Lake City, Hinsdale, Colorado, United States
Birth Year (Estimated):
Spouse's Name: Hilda Peterson
According to an online family tree at familysearch.org, Hilda was born in Minnesota, and Thomas was born about 1869 (place unknown). They seem to have had a son, John T. Burton in 1896 in Pasedena, California, and Hilda died in 1931 in Pasedena. Did Thomas die young, and Hilda remarry so that their son took on the step-father's name?
The same tree indicates that she remarried to an Edward Israel.
1910 US Census
Israel, Edward, aged 38, married once, 5 years, born Iowa, parents b. US, cleaner, house
Israel, Hilda M., aged 37, married twice, 5 years this marriage, 1 child born/living, b. Minnesota, parents b. Sweden
Zimmerman, Burton F., Step-Son, aged 15, single, b. Iowa, father b. Indiana, mother b. Minnesota
Peterson, Reuben, Brother-in-law, aged 19, single, b. Minnesota