1870 Census of Austin, Texas shows him as a merchant.

Also in 1900 Census of Austin. Looks like he remarried ca. 1874 to a Swedish woman named Augusta and had probably two more children. He appears to be a bank president and his son Eugene Jr. works in the bank.

History of the Bremond Block in Austin:
“...the Bremond Block, a family enclave created by two brothers, Eugene and John Bremond, for themselves and their extended family in the late 1800's. This Italianate house was built in 1873. In 1874, Eugene Bremond paid $15,000 for both the house and the empty lot next door to the east. In 1872, Eugene Bremond was a widower with four young children to care for. He married again in 1874, this time to Augusta Palm. He moved his children and new bride to this house on the southwest corner of the block. Eugene and Augusta had two more children, so all together the Eugene Bremond family had six children.
It was said that the alley behind the house was often closed off at either end so that the children and their cousins could play there. A traveling vegetable cart made daily stops there at the alley, and Eugene made those purchases for his mother and wife.”

“Eugene came to Austin with his father in 1847 at the age of 15. In 1849 Eugene’s father, John Bremond Sr., opened a branch store of his mercantile shop on the east side of Congress Avenue, between Sixth and Seventh Streets. Eugene was placed in charge of this store.
In the days leading up to the Civil War, Eugene was a Unionist, and opposed secession from the union primarily because of business and economic reasons. The Unionists in Austin formed the Austin Association for Maintaining Our Rights in the Union and circulated a petition protesting the state secession convention of January 1861. Eugene Bremond was one of the signers of that petition.5 After war was declared, and following the passage of the state conscription laws on 25 Dec 1861, Eugene became a member of the Texas Conscripts. Nothing is known about his service but conscripts (draftees) were often used as quarter masters or in clerical positions.
Following the war, Eugene was baptized at St. David’s Episcopal Church in Austin on 21 Apr 1867.
He was active in the mercantile business with his father and then with his brother, John Bremond Jr., and his brother-in-law, John H. Robinson Jr. His main interest in the business was making loans to private individuals. He operated his loan business out of a small room in the back of the store and charged the going rate of 18% interest. For a brief time in the late 1860s, Eugene was a partner with John H. Robinson Sr. and operated a private bank known as Bremond & Robinson.8 This partnership did not last beyond 1871. In 1870, he sold his portion of the Bremond mercantile business to his brother, John Bremond Jr. although he continued to operate the private bank out of the store.
How long Eugene Bremond remained a director of the First National Bank of Austin is not known, but in 1880 Eugene established Bremond & Company, a private banking company, one of the first banks established in Austin. In 1882 it reorganized and was chartered as the State National Bank with Eugene as president.
Locally, the bank was always known as “Bremond’s Bank” and for nearly a century members of the Bremond family were bank officers in Austin.
In 1881 Eugene joined Judge Terrell, Frank Hamilton, William Brueggerhoff, A. J. Peeker, C. F. Millett, J. T. Brackenridge, E. J. Davis, W. C. Walsh, Dr. M. A. Taylor, Walter Tips, Phineas de Cordova, E. T. Eggleston, and A. P. Wooldridge to head the campaign to establish a university to be known as the University of Texas. The place was to be determined by a vote of the people of Texas. Bremond’s group organized on 6 Apr 1881 to begin planning the strategy to have the university built in Austin.
Austin ultimately won the vote and the University opened in Sep 1883.
In 1866 Eugene purchased the north half of block 80 in the city of Austin. Today, this block still bears his name. The first house owned and occupied by Eugene Bremond was at 706 Guadalupe, the oldest structure on the Bremond Block.
Eugene and Mary Amelia and their family lived in this small house built originally for William Phillips by master builder, Abner Cook. In 1872, to accommodate his growing family, Eugene enlarged the house with a rear Italianate addition.
Two years after Mary Amelia’s death, Eugene married Augusta Palm at St. David’s Church on 24 Aug 1874 and moved his family and new bride to the opposite side of the block.
He divided up his property among his children. His son Walter and daughter Lizzie got the west end of this half block; His daughter Lily received property located elsewhere in town, and his son Eugene Jr., nicknamed Bud, acquired this Greek revival house at 706 Guadalupe.