Extremely fun answer, actually: no, it doesn't, but most of this segment isn't actually part of the street at all. In the City of Beaumont GIS data the northernmost point of North 13th Street is the intersection with Toccoa, but there's a bit more that's not part of any property parcels, so I included that part as well. Fixed naming for the parts that actually belong to the street and retagged the rest as service in changeset #173864234.