The fruits of red-flowered currant are edible, but not particularly palatable – it’s best to leave them for the birds. Other gooseberries and currants are better choices for those with an appetite.
The family for Ribes, the Grossulariaceae, is an “exception to a rule” of botanical nomenclature. In most instances, the name of a plant family is based off the name of a valid genus within the family, e.g., Rosaceae and Rosa or Salicaceae and Salix. However, even though the genus Grossularia is no longer recognized as a separate taxonomic entity, the Grossulariaceae as a family name has been nomenclaturally “conserved” due to (I’m assuming with these) long-standing use of the name and the anticipated disruption a change in the name would cause.