"Dependent" means any of the following named relatives of a worker whose death results from any injury and who leaves surviving no widow, widower, or child, viz: Father, mother, grandfather, grandmother, stepfather, stepmother, grandson, granddaughter, brother, sister, half-sister, half-brother, niece, nephew, who at the time of the accident are actually and necessarily dependent in whole or in part for their support upon the earnings of the worker.