The statute you quote is the same one we've been talking about already. Although it authorizes unlicensed concealed carry in a place of business, I'm concerned whether the fact that the "place of business" is also a vehicle might add some legal complexity to the issue.
As for State v. Anton, as far as I can tell, that ruling simply expanded the "place of business" definition to include "buildings and structures thereon". That doesn't directly address the "vehicle as a 'place of business'" issue either.
Place of business is a building or land the business leases or owns. Ice cream truck isn't generally going to cut it. If she owns the vehicle and it's not for hire, she can't carry, but she can have it in there, as long as it's either "securely encased", or not "readily accessible".