I agree that you don't seem to have quite enough information from your supplier.
As an absolute minimum they should have the scientific name on the specification. That way there is no doubt as to what plant material they are supposed to be supplying.
As BrummyJim said, you should also obtain (in writing) information about where it is grown and how it is harvested. Although laws on that type of claim can be pretty vague a great place to start is to ask yourself what the consumer would be imagining when they see the label "Wild garlic croutons". My guess is that the consumer will be expecting that the product has been made with something that is known to botanists as wild garlic OR the garlic in the croutons has been harvested from the 'wild'. If there are any consumer law questions you will need to be able to show that your product meets one or both of those expectations. Some good written information from your supplier will show that you have done your due diligence with regards to the material and its harvesting methods so you should be okay there.
If the garlic is neither Allium ursinum nor harvested by foraging (rather than cultivated) then you might have a problem with your product name.