AbstractA strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graphK(t)nis the graph consisting oftcopies of the complete graphKnwith a vertex in common. It is shown that, fort≥ 1,K(t)nis strongly harmonious and so harmonious by drawing on partitions already available from the construction of cyclic neofields. Other irregular windmill graphs can be shown to be strongly harmonious in a similar wa