Badalhouce was known as the former Portuguese-Galician to the city of Badajoz. This chapter of the Chronicle is based in Roman mythology of Hercules. On the tenth of the labour, Hercules should look to the giant Gerión, killing him and stealing his cattle.
The chronicle tells us that Hercules cut the head to Gerión and placed it on top of a tower.
Then he gave the orders to populate that zone, drawing many people. The first person to arrive was a woman named Crunha, why Hercules was ordered to that city called Crunha (La Coruña).
After that, Hercules was at a place that came to be called in order of Hercules, Bailhos Doces (Sweet Dance, and later became Badalhouce).
The story of Hercules and Gerión tries to explain that the name of Badajoz (Bailhos Doces - Badalhouce - Badajoz) could come from a place to perform ritual dances.