Mobile wireless communications device with multiple-band antenna and related methods

A mobile wireless communications device may include a housing, a wireless transceiver carried by the housing and having a primary output, and a secondary output, and a multiple-band antenna carried by the housing and coupled to the wireless transceiver. The multiple-band antenna may include a dielectric substrate and a pattern of electrically conductive traces thereon defining a primary radiator and a secondary radiator spaced apart from the primary radiator. The primary radiator may include a first elongate member having a primary feed coupled to the primary output, and a first reference member spaced from the first elongate member and at least partially laterally surrounding the first elongate member and coupled to a reference voltage. The secondary radiator may include a second elongate member having a secondary feed coupled to the secondary output.