Tracing royal succession if Prince Albert died at Jutland

Who would succeed Edward if Prince Albert had died at Jutland and Edward remained king?

Edward's own children would come first if he had any, otherwise succession would move to the next eligible family branch.

The scenario removes Prince Albert at Jutland and assumes Edward remains on the throne. The eventual successor would depend first on whether Edward had children. Without children of his own, succession would pass to the next eligible family branch. The Duke of Gloucester and his descendants are suggested as possibilities rather than a settled answer to every version of the scenario. The governing idea is that an institution with a succession order can outlast changes to the particular people within it.