diff --git a/lib/galaxy/webapps/galaxy/controllers/workflow.py b/lib/galaxy/webapps/galaxy/controllers/workflow.py
index 2489e91d050..56c932b55bb 100644
--- a/lib/galaxy/webapps/galaxy/controllers/workflow.py
+++ b/lib/galaxy/webapps/galaxy/controllers/workflow.py
@@ -993,7 +993,7 @@ class WorkflowController( BaseUIController, SharableMixin, UsesStoredWorkflowMix
                                     myexperiment_target_url=myexperiment_target_url )
 
     @web.expose
-    def build_from_current_history( self, trans, job_ids=None, dataset_ids=None, dataset_collection_ids=None, workflow_name=None ):
+    def build_from_current_history( self, trans, job_ids=None, dataset_ids=None, dataset_collection_ids=None, workflow_name=None, dataset_names=None, dataset_collection_names=None ):
         user = trans.get_user()
         history = trans.get_history()
         if not user:
@@ -1014,7 +1014,9 @@ class WorkflowController( BaseUIController, SharableMixin, UsesStoredWorkflowMix
                 job_ids=job_ids,
                 dataset_ids=dataset_ids,
                 dataset_collection_ids=dataset_collection_ids,
-                workflow_name=workflow_name
+                workflow_name=workflow_name,
+                dataset_names=dataset_names,
+                dataset_collection_names=dataset_collection_names
             )
             # Index page with message
             workflow_id = trans.security.encode_id( stored_workflow.id )
diff --git a/lib/galaxy/workflow/extract.py b/lib/galaxy/workflow/extract.py
index 5737eb6f57e..e9469a02767 100644
--- a/lib/galaxy/workflow/extract.py
+++ b/lib/galaxy/workflow/extract.py
@@ -25,8 +25,8 @@ log = logging.getLogger( __name__ )
 WARNING_SOME_DATASETS_NOT_READY = "Some datasets still queued or running were ignored"
 
 
-def extract_workflow( trans, user, history=None, job_ids=None, dataset_ids=None, dataset_collection_ids=None, workflow_name=None ):
-    steps = extract_steps( trans, history=history, job_ids=job_ids, dataset_ids=dataset_ids, dataset_collection_ids=dataset_collection_ids )
+def extract_workflow( trans, user, history=None, job_ids=None, dataset_ids=None, dataset_collection_ids=None, workflow_name=None, dataset_names=None, dataset_collection_names=None ):
+    steps = extract_steps( trans, history=history, job_ids=job_ids, dataset_ids=dataset_ids, dataset_collection_ids=dataset_collection_ids, dataset_names=dataset_names, dataset_collection_names=None )
     # Workflow to populate
     workflow = model.Workflow()
     workflow.name = workflow_name
@@ -52,7 +52,7 @@ def extract_workflow( trans, user, history=None, job_ids=None, dataset_ids=None,
     return stored
 
 
-def extract_steps( trans, history=None, job_ids=None, dataset_ids=None, dataset_collection_ids=None ):
+def extract_steps( trans, history=None, job_ids=None, dataset_ids=None, dataset_collection_ids=None, dataset_names=None, dataset_collection_names=None ):
     # Ensure job_ids and dataset_ids are lists (possibly empty)
     if job_ids is None:
         job_ids = []
@@ -79,19 +79,27 @@ def extract_steps( trans, history=None, job_ids=None, dataset_ids=None, dataset_
     steps_by_job_id = {}
     hid_to_output_pair = {}
     # Input dataset steps
-    for hid in dataset_ids:
+    for i, hid in enumerate( dataset_ids ):
         step = model.WorkflowStep()
         step.type = 'data_input'
-        step.tool_inputs = dict( name="Input Dataset" )
+        if dataset_names:
+            name = dataset_names[i]
+        else:
+            name = "Input Dataset"
+        step.tool_inputs = dict( name=name )
         hid_to_output_pair[ hid ] = ( step, 'output' )
         steps.append( step )
-    for hid in dataset_collection_ids:
+    for i, hid in enumerate( dataset_collection_ids ):
         step = model.WorkflowStep()
         step.type = 'data_collection_input'
         if hid not in summary.collection_types:
             raise exceptions.RequestParameterInvalidException( "hid %s does not appear to be a collection" % hid )
         collection_type = summary.collection_types[ hid ]
-        step.tool_inputs = dict( name="Input Dataset Collection", collection_type=collection_type )
+        if dataset_collection_names:
+            name = dataset_collection_names[i]
+        else:
+            name = "Input Dataset Collection"
+        step.tool_inputs = dict( name=name, collection_type=collection_type )
         hid_to_output_pair[ hid ] = ( step, 'output' )
         steps.append( step )
     # Tool steps
diff --git a/templates/webapps/galaxy/workflow/build_from_current_history.mako b/templates/webapps/galaxy/workflow/build_from_current_history.mako
index f05752a4f6f..89c1f00f8eb 100644
--- a/templates/webapps/galaxy/workflow/build_from_current_history.mako
+++ b/templates/webapps/galaxy/workflow/build_from_current_history.mako
@@ -64,6 +64,8 @@
                         <input type="checkbox" id="as-input-${ encoded_id }" class="as-input"
                                name="${data.history_content_type}_ids" value="${data.hid}" checked="true" />
                         <label for="as-input-${ encoded_id }" >${_('Treat as input dataset')}</label>
+                        <input type="text" id="as-named-input-${ encoded_id }" class="as-named-input"
+                               name="${data.history_content_type}_names" value="${data.display_name() | h}" />
                     %endif
                 </div>
             </td>