Am I liable to file taxes for the business?

I recently got married in March of this year and shortly after found out that my husband's father has his business in my husband's name. I was shocked to find this out and my husband told me his dad put his business in his name bc they were in jeopardy of losing their house. I didn't really understand how putting the business in my husband's name saved them from losing their house but I don't really understand mortgages and things like that since I've always rented before I met my husband. So now I'm worried that this may affect ME and my taxes when I file next year. I've already filed for this year but since we got married this March, I only included the income I earned in 2020. I'm worried my husband's dad has bad credit and it is spilling over to my husband and now me. I called the IRS to try to inquire anonymously but they didn't seem very helpful and only asked if it affected my filing status but I'm not sure. That's precisely why I was calling THEM. This whole thing has gotten me