[Arran]

The veneer is quarter sawn French walnut I believe, mahogany was used on some radio cabinets but the majority during the 1930s used some cut or species of walnut veneer. Repairing that section will be tricky to do, you would have to cut a strip out parallel to the grain and lengthen it, veneer going over a curve is under tension so a small patch really won't work too well. If it were mine I would make the repair strip the entire length of the top and front panel rather then trying to cut across the grain and fit a shorter strip in there.
Regards
Arran