Certain waters had the power of ejecting the demon of madness. Besides drinking, the patient was thrown into the waters, the shock being intended to drive the demon away, as elsewhere demons are exorcised by flagellation or beating. The divinity of the waters aided the process, and an offering was usually made to him. In other cases the sacred waters were supposed to ward off disease from the district or from those who drank of them. Or, again, they had the power of conferring fertility. Women made pilgrimages to wells, drank or bathed in the waters, implored the spirit or saint to grant them offspring, and made a due offering.[652] Spirit or saint, by a transfer of his power, produced fruitfulness, but the idea was in harmony with the recognised power of water to purify, strengthen, and heal. Women, for a similar reason, drank or washed in the waters or wore some articles dipped in them, in order to have an easy delivery or abundance of milk.[653] The waters also gave oracles, their method of flowing, the amount of water in the well, the appearance or non-appearance of bubbles at the surface when an offering was thrown in, the sinking or floating of various articles, all indicating whether a cure was likely to occur, whether fortune or misfortune awaited the inquirer, or, in the case of girls, whether their lovers would be faithful. The movements of the animal guardian of the well were also ominous to the visitor.[654] Rivers or river divinities were also appealed to. In cases of suspected fidelity the Celts dwelling by the Rhine placed the newly-born child in a shield on the waters. If it floated the mother was innocent; if it sank it was allowed to drown, and she was put to death.[655] Girls whose purity was suspected were similarly tested, and S. Gregory of Tours tells how a woman accused of adultery was proved by being thrown into the Saône.[656] The mediæval witch ordeal by water is connected with this custom, which is, however, widespread.[657]