diff --git a/firedrake/cython/dmcommon.pyx b/firedrake/cython/dmcommon.pyx
index ec7ab631af..8c2ccae6bb 100644
--- a/firedrake/cython/dmcommon.pyx
+++ b/firedrake/cython/dmcommon.pyx
@@ -3838,6 +3838,10 @@ def submesh_create(PETSc.DM dm,
     subdm.removeLabel(temp_label_name)
     submesh_update_facet_labels(dm, subdm)
     submesh_correct_entity_classes(dm, subdm, ownership_transfer_sf)
+
+    # Propagate python attributes
+    for key, value in dm.getDict().items():
+        subdm.setAttr(key, value)
     return subdm
 
 
diff --git a/firedrake/dmhooks.py b/firedrake/dmhooks.py
index 5b1562e84c..4d40e0f7cc 100644
--- a/firedrake/dmhooks.py
+++ b/firedrake/dmhooks.py
@@ -499,3 +499,13 @@ def attach_hooks(dm, level=None, sf=None, section=None):
     # a non-mixed space)
     dm.setCreateFieldDecomposition(create_field_decomposition)
     dm.setCreateSubDM(create_subdm)
+
+
+def migrate_dm_attrs(parent_dm, child_dm):
+    """Migrate python attributes from one DM to another.
+
+    :arg parent_dm: the parent DM
+    :arg child_dm: the child DM
+    """
+    for key, value in parent_dm.getDict().items():
+        child_dm.setAttr(key, value)
diff --git a/firedrake/functionspacedata.py b/firedrake/functionspacedata.py
index a1b6190cfb..b890145a7c 100644
--- a/firedrake/functionspacedata.py
+++ b/firedrake/functionspacedata.py
@@ -478,6 +478,8 @@ def __str__(self):
 
     @PETSc.Log.EventDecorator()
     def boundary_nodes(self, V, sub_domain):
+        region_names = V.mesh().topology_dm.getAttr("face_region_names") or {}
+        sub_domain = region_names.get(sub_domain, sub_domain)
         if sub_domain in ["bottom", "top"]:
             if not V.extruded:
                 raise ValueError("Invalid subdomain '%s' for non-extruded mesh",
diff --git a/firedrake/mg/mesh.py b/firedrake/mg/mesh.py
index abd41b1716..54c14f851f 100644
--- a/firedrake/mg/mesh.py
+++ b/firedrake/mg/mesh.py
@@ -11,6 +11,7 @@
 
 from firedrake import utils
 from firedrake.cython import mgimpl as impl
+from firedrake.dmhooks import migrate_dm_attrs
 from .utils import set_level
 
 __all__ = ("HierarchyBase", "MeshHierarchy", "ExtrudedMeshHierarchy", "NonNestedHierarchy",
@@ -142,6 +143,7 @@ def MeshHierarchy(mesh, refinement_levels,
         if i % refinements_per_level == 0:
             before(cdm, i)
         rdm = cdm.refine()
+        migrate_dm_attrs(cdm, rdm)
         if i % refinements_per_level == 0:
             after(rdm, i)
         dms.append(rdm)
diff --git a/firedrake/mg/netgen.py b/firedrake/mg/netgen.py
index aaa44ace85..7976f83f96 100644
--- a/firedrake/mg/netgen.py
+++ b/firedrake/mg/netgen.py
@@ -155,6 +155,7 @@ def uniformRefinementRoutine(ngmesh, cdm):
     logger.info(f"\t\t\t[{time.time()}]Refining the plex")
     cdm.setRefinementUniform(True)
     rdm = cdm.refine()
+    dmhooks.migrate_dm_attrs(cdm, rdm)
     rdm.removeLabel("pyop2_core")
     rdm.removeLabel("pyop2_owned")
     rdm.removeLabel("pyop2_ghost")