No and yes. Elderberries are the fruits of the elder (or elderberry) tree whereas elderflowers are the flowers of that same elderberry tree. It can be a bit confusing especially when you consider the fact that there is a herbaceous species of elder. Those herbaceous elders aren’t called “elderflowers”, however, but dwarf elderberry as well as dwarf elder, danewort, danesblood, dane weed, and a few other names. So, elderflowers are just the flowers of the elderberry tree and not a different plant altogether.