Another secondary source GENi could be looked at and rechecked for varification but it gives the following info:
Son of Andrew House and Catherine Hauss
Husband of Maria Margaretha Hauss and Margaret "Peggy" House
Father of Adam House, Sr.; Michael House; Eva Elssa Bunger; Margaret Mary "Peggy" Bunger; Mary Magdelene "Polly" Floyd and 10 others
Page URL: https://www.geni.com/people/Matthias-House/6000000003541122821
If you look at the profile you noted it has his parents listed. You can find some details on the parents by clicking on their names.
Matthias Hauss House Born August 8, 1739 in Balden, Baden-Wuerttemberg, Germany