In Portugal, Paulo mentions, the common name for this plant is esporas-bravas — “wild spurs”. In English, the common name of yellow-throated purple toadflax seems to have been pushed aside by a more romantic name, “three birds flying”. To be fair, the latter more closely resembles the epithet triornithophora, meaning “to bear three birds”.
This endemic to the Iberian Peninsula is becoming more widely cultivated. Unfortunately, there is some potential for it to become a weedy invasive like its cousin Linaria dalmatica; it is already listed as an adventive weed in New Zealand. However, it’s not simple to assess in advance whether a plant will become invasive or not. Each species has its own spread dynamic (PDF), which, if determined, would have some predictive value.
Like many other former genera of the once-mighty Scrophulariaceae, Linaria has been shifted into the Plantaginaceae, or plantain family. One of the papers documenting the evidence for the change is available online: Olmstead et al.. 2001. Disintegration of the Scrophulariaceae. American Journal of Botany. 88:348-361.