The TENDENCY to have allergies is inherited - not the specific allergy.
ANY family history of ANY allergies means that the LO *could* have food allergies.
Me: allergic to cats, used to have bad environmental allergies as a kid (did allergy shots for years), no known food allergies
DS: multiple food allergies, so far tests negative to environmental allergies
I'm really not trying to scare you! I thought that no family history of FOOD allergies meant we didn't need to worry for DS. I didn't learn about the role of ANY allergy until after DS was diagnosed with food allergies.