My great-great grandfather, Louis first appears in the 1840 Census in Michigan, where he was born. He served in the 13th Illinois Cavalry during the Civil War and later married Catherine Hoy and had thirteen children: Ida (m. John Rodams), Cora (m. Edward Thompson), Lillie, Charles, Etta (m. John Goldback), George (m. Aldena Orr), Zoe (m. J.E. Meyer), Francis (m. Olive Chappell), Harry, Stella (m. Daniel O'Brien), Lulu (m. Frederick Burr), Edward and Louis, Jr. The LaBrash family lived in central Illinois, around the Quincy area until Louis' death in 1903. After that, many of the family moved to the Kansas City area.

If you're unfamiliar with French genealogy, you might want to find out "What is all this "dit" stuff?"

Here is a quick-and-dirty LaBrash/Labreche ancestry (Charles was Louis LaBrash's father):
1.Charles-Sephirin Dugas dit Labreche
Born: 31 October 1811
Bapt: 31 Octobr 1811 at St-Joseph-de-Maskinonge, Quebec.
Married 25 July 1831 at St-Antoine-de-la-riviere-du-Loup, Louiseville, Quebec to Marguerite Rivard dit Bellefeuille

2.Joseph-Chrysostome Dugas dit Labreche
Born: 6 September 1784
Bapt: 7 September 1784, St-Joseph-de-Maskinonge, Quebec
Married: 30 May 1808 at St-Joseph-de-Maskinonge, Quebec to Marie-Charlotte Ducheny

3.Jacques Dugas dit Labreche Born: 9 January 1750
Bapt: 9 January 1750, Notre-Dame-de-Quebec, Quebec
Married: 6 August 1781 at St-Cuthbert, Quebec to Marie-Catherine Laventure

4.Pierre I Dugas dit Labreche Born: 9 February 1709
Bapt: 10 February 1709, St-Laurent, Montreal, Quebec
Married: 3 march 1737 at Notre-Dame-de-Quebec to Marie-Catherine Barbeau

5.Jean-Baptiste Dugas dit Labreche
Born and bapt about 1670 at St-Pe-de-Bigorre, Bearn, France.
Married 7 January 1708 at Nativite-de-Notre-Dame-de-Beauport, Beauport, Quebec to Marie-Charlotte Vandandaique dit Gadbois.

Jean-Baptiste was a military person. He served in the Cie of M. de la Valliere until 1705 and after he was a Caporal in the Cie of M. de Repentigny. I think he have participed in the reconstruction of Fort Frontenac in 1695. I don't know now the date of immigration of Jean-Baptiste in New-France but I think it was about 1685 with the Bearn Regiments.