If people scurry to do something, they do it as soon as they can. Pictures of starving children have sent many people scurrying to donate money. = rush. to move quickly with short steps, especially because you are in a hurry (hurry-scurry (18-20 centuries), from hurry)
To hasten away or along; to move rapidly; to hurry; as, the rabbit scurried away
to move about or proceed hurriedly; "so terrified by the extraordinary ebbing of the sea that they scurried to higher ground
When people or small animals scurry somewhere, they move there quickly and hurriedly, especially because they are frightened. The attack began, sending residents scurrying for cover