If I have an elevated transglutaminase iga, hypothyroidism, and a mother with celiac disease. Is the likelihood that I have celiac disease.?

Yes, but ... While your database is highly suggestive of a person at risk for celiac disease, the diagnosis still hinges on a diagnostic small bowel biopsy. Once the diagnosis is secure, a gluten-free diet should then result in a drop in tissue transglutaminase titer.