diff --git a/spacy/tests/morphology/test_morph_features.py b/spacy/tests/morphology/test_morph_features.py
index f0610b745..391fd1337 100644
--- a/spacy/tests/morphology/test_morph_features.py
+++ b/spacy/tests/morphology/test_morph_features.py
@@ -13,13 +13,29 @@ def morphology():
 def test_init(morphology):
     pass
 
-def test_add_tag_with_string_names(morphology):
-    morphology.add({"Case_gen", "Number_Sing"})
+def test_add_morphology_with_string_names(morphology):
+    morphology.add({"Case_gen", "Number_sing"})
 
-def test_add_tag_with_int_ids(morphology):
+def test_add_morphology_with_int_ids(morphology):
     morphology.add({Case_gen, Number_sing})
 
-def test_add_tag_with_mix_strings_and_ints(morphology):
+def test_add_morphology_with_mix_strings_and_ints(morphology):
     morphology.add({PunctSide_ini, 'VerbType_aux'})
 
 
+def test_morphology_tags_hash_distinctly(morphology):
+    tag1 = morphology.add({PunctSide_ini, 'VerbType_aux'})
+    tag2 = morphology.add({"Case_gen", 'Number_sing'})
+    assert tag1 != tag2
+
+def test_morphology_tags_hash_independent_of_order(morphology):
+    tag1 = morphology.add({"Case_gen", 'Number_sing'})
+    tag2 = morphology.add({"Number_sing", "Case_gen"}) 
+    assert tag1 == tag2
+
+def test_update_morphology_tag(morphology):
+    tag1 = morphology.add({"Case_gen"})
+    tag2 = morphology.update(tag1, {"Number_sing"})
+    assert tag1 != tag2
+    tag3 = morphology.add({"Number_sing", "Case_gen"}) 
+    assert tag2 == tag3