As Jay as pointed out, the first mutation is a beta+ mutation that on its own is a mild mutation. However, the second mutation is a beta zero mutation. The combination of the two is a beta thal major phenotype, requiring transfusions.
If an alpha thal deletion had been present, it is likely that transfusion would have started at a later date, so I doubt any alpha deletion is present. By themselves, neither mutation is severe, but together, not much hemoglobin can be produced on its own. I would not be surprised if neither parent has had much issue with thal minor.