diff --git a/app/views/comments/_comment_actions.html.erb b/app/views/comments/_comment_actions.html.erb
index 766bbe9e29..c4f477c2f0 100644
--- a/app/views/comments/_comment_actions.html.erb
+++ b/app/views/comments/_comment_actions.html.erb
@@ -1,4 +1,4 @@
-<h5 class="landmark heading"><%= ts("Comment Actions") %></h5>
+<h5 class="landmark heading"><%= t(".comment_actions") %></h5>
 
 <ul class="actions" id="navigation_for_comment_<%= comment.id %>" <% if focused_on_comment(comment) %> style="display:none;"<% end %>>
   <%# The effect is "Frozen" replaces "Reply." We can't do that in the helper
@@ -11,11 +11,12 @@
   <% if can_reply_to_comment?(comment) %>
     <li id="add_comment_reply_link_<%= comment.id %>"><%= add_comment_reply_link comment %></li>
   <% end %>
-  <% unless comment.unreviewed? %>
-    <li><%= link_to ts("Thread"), comment %></li>
-  <% end %>
   <% if comment.depth > 0 %>
-    <li><%= link_to ts("Parent Thread"), comment_path(id: comment.thread) %></li>
+    <li><%= link_to t(".parent"), comment_path(id: comment.commentable_id) %></li>
+    <li><%= link_to t(".parent_thread"), comment_path(id: comment.thread) %></li>
+  <% end %>
+  <% unless comment.unreviewed? %>
+    <li><%= link_to t(".thread"), comment %></li>
   <% end %>
   <% if can_freeze_comment?(comment) %>
     <li><%= freeze_comment_button(comment) %></li>
@@ -35,7 +36,7 @@
   <% end %>
   <% if can_review_comment?(comment) %>
     <li id="review_comment_link_<%= comment.id %>">
-      <%= button_to(ts("Approve"), review_comment_path(comment), method: :put) %>
+      <%= button_to(t(".approve"), review_comment_path(comment), method: :put) %>
     </li>
   <% end %>
   <% if can_destroy_comment?(comment) %>
@@ -64,11 +65,11 @@
   <%# This is where the reply-to box will be added when "Reply" is hit, if the user has JavaScript. %>
   <%# If not, we will render the comment form if this is the comment we are replying to. %>
   <% if focused_on_comment(comment) %>
-    <div id="add_comment_reply_placeholder_<%= comment.id %>" title="<%= ts("reply to this comment") %>">
-      <%= render 'comments/comment_form',
-        :comment => Comment.new,
-        :commentable => comment,
-        :button_name => ts("Comment") %>
+    <div id="add_comment_reply_placeholder_<%= comment.id %>" title="<%= t(".reply_to_this") %>">
+      <%= render "comments/comment_form",
+            comment: Comment.new,
+            commentable: comment,
+            button_name: t(".comment") %>
   <% else %>
     <div id="add_comment_reply_placeholder_<%= comment.id %>" style="display: none;">
   <% end %>
diff --git a/config/locales/views/en.yml b/config/locales/views/en.yml
index 12b3e8d85d..9b996fcaa2 100644
--- a/config/locales/views/en.yml
+++ b/config/locales/views/en.yml
@@ -712,6 +712,14 @@ en:
       tags: Tags
       works: Works (%{count})
   comments:
+    comment_actions:
+      approve: Approve
+      comment: Comment
+      comment_actions: Comment Actions
+      parent: Parent
+      parent_thread: Parent Thread
+      reply_to_this: Reply to this comment
+      thread: Thread
     comment_form:
       anonymous_creator: Anonymous Creator
       anonymous_forewarning: While this work is anonymous, comments you post will also be listed anonymously.
diff --git a/features/comments_and_kudos/add_comment.feature b/features/comments_and_kudos/add_comment.feature
index 383f5771de..5326d27487 100644
--- a/features/comments_and_kudos/add_comment.feature
+++ b/features/comments_and_kudos/add_comment.feature
@@ -186,6 +186,20 @@ Scenario: Comment threading, comment editing
     Then I should see "must be less than"
       And I should see "Now, we can devour the gods, together!"
 
+Scenario: I can see "Parent" and "Parent Thread" links on reply comments but not on top-level comments
+
+  Given the work "Random Work"
+  When I am logged in as "commenter"
+    And I post the comment "This is the top-level comment" on the work "Random Work"
+  Then I should not see "Parent"
+    And I should not see "Parent Thread"
+
+  When I reply to a comment with "This is the reply comment"
+  Then I should not see "Parent" within ".odd"
+    And I should not see "Parent Thread" within ".odd"
+    And I should see "Parent" within ".even"
+    And I should see "Parent Thread" within ".even"
+
 Scenario: Don't receive comment notifications of your own comments by default
 
   When I am logged in as "author"