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The authority for the affinis->vespertina; verspertina->nigra reassignment seems to be Pont, A.C. 1984. A revision of the Fanniidae and Muscidae (Diptera) described by Fallén. Entomologica Scandinavica 15, 277-297. But I haven't seen this paper.

Gregor et al, 2016 , Manual of Central European Muscidae (Diptera) gives the following (slightly abbeviated):

1. Mid and hind femora yellow to brownish yellow ... H. nigricolor
- Mid and hind femora mainly black ... 2

2. Halteres with brown to black knob; eyes bare; parafacialia silvery in dorsal view ... H. nigra
- Halteres with yellow knob; eyes densely haired OR parafacialia dull brown ... 3

3. Males ... 4
-- Females ... 6

4. Eyes densely haired (>0.03mm); parafacialia silvery OR mid and hind tibiae reddish brown and tips of femora contrastingly pale ...5
- Eyes virtually bare (<0.02mm); parafacialia dull brown; mid and hind tibiae mostly black; femora without contrastingly pale apices ... H.vespertina

5. Tips of femora and mid and hind tibiae reddish brown; parafacialia dull brown; abdomen without dark medial stripe ... H. fumosa
Legs uniformly black; mid and hind tibiae rarely reddish brown; parafacialia silvery; abdomen with a distinct undusted median strip in dorsal view .. H.umbratica

6. Scutum with 4 narrow dark stripes (best viewed from behind); parafacialia silvery in dorsal view OR at least paler than fronto-orbital plates; abdomen heaviliy dusted, matt; legs black ... H. umbratica
- Different combination of characters ... 7

7. Tips of femora and mid and hind tibiae contrastingly pale; eyes with short but distinct hairs; abdomen heavily dusted; mesoscutum light grey and distinctly striped in dorsal view ... H. fumosa
- Tips of femora and mid and hind tibiae black; eyes bare, abdomen shining; mesoscutun dark and unstriped in dorsal view ... H. vespertina