diff --git a/doc/whatsnew.rst b/doc/whatsnew.rst
index 3a2ac63e..e7b20dae 100644
--- a/doc/whatsnew.rst
+++ b/doc/whatsnew.rst
@@ -3,8 +3,11 @@
 What's new?
 ***********
 
-.. Next release
-.. ============
+Next release
+============
+
+- Bug fix for reading :class:`.Agency` from SDMX-ML 2.1: name of the parent :class:`.Organisation` would be incorrectly attached to the Contact (:pull:`159`).
+- Bug fix for writing :class:`.Contact` to SDMX-ML 2.1: :attr:`.Contact.uri` and :attr:`.Contact.email` would be written as, for instance, :xml:`<str:URI text="https://example.com"/>` instead of :xml:`<str:URI>https://example.com</str:URI>` (:pull:`159`).
 
 v2.13.0 (2024-01-23)
 ====================
diff --git a/sdmx/reader/xml/v21.py b/sdmx/reader/xml/v21.py
index ec1e34b5..7c2dce3d 100644
--- a/sdmx/reader/xml/v21.py
+++ b/sdmx/reader/xml/v21.py
@@ -1026,9 +1026,6 @@ def _a(reader, elem):
     only=False,
 )
 def _item_start(reader, elem):
-    # Avoid stealing the name & description of the parent ItemScheme from the stack
-    # TODO check this works for annotations
-
     try:
         if elem[0].tag in ("Ref", "URN"):
             # `elem` is a reference, so it has no name/etc.; don't stash
@@ -1037,6 +1034,8 @@ def _item_start(reader, elem):
         # No child elements; stash() anyway, but it will be a no-op
         pass
 
+    # Avoid stealing the name & description of the parent ItemScheme from the stack
+    # TODO check this works for annotations
     reader.stash(model.Annotation, "Name", "Description")
 
 
@@ -1298,16 +1297,26 @@ def _cat(reader, elem):
 # §4.6: Organisations
 
 
-@end("mes:Contact str:Contact")
+@start("mes:Contact str:Contact", only=False)
+def _contact_start(reader, elem):
+    # Avoid stealing the name of the parent Item
+    reader.stash("Name")
+
+
+@end("mes:Contact str:Contact", only=False)
 def _contact(reader, elem):
     contact = model.Contact(
         telephone=reader.pop_single("Telephone"),
         uri=reader.pop_all("URI"),
         email=reader.pop_all("Email"),
     )
+
     add_localizations(contact.name, reader.pop_all("Name"))
     add_localizations(contact.org_unit, reader.pop_all("Department"))
     add_localizations(contact.responsibility, reader.pop_all("Role"))
+
+    reader.unstash()
+
     return contact
 
 
diff --git a/sdmx/tests/reader/test_reader_xml_v21.py b/sdmx/tests/reader/test_reader_xml_v21.py
index e6b9925d..a858d96d 100644
--- a/sdmx/tests/reader/test_reader_xml_v21.py
+++ b/sdmx/tests/reader/test_reader_xml_v21.py
@@ -8,6 +8,7 @@
 
 import sdmx
 from sdmx.format.xml.v21 import qname
+from sdmx.model import common
 from sdmx.model.v21 import Facet, FacetType, FacetValueType
 from sdmx.reader.xml.v21 import Reader, XMLParseError
 from sdmx.writer.xml import Element as E
@@ -132,6 +133,28 @@ def test_gh_142(specimen):
     assert all(0 == len(code.annotations) for code in cl)
 
 
+def test_gh_159():
+    """Test of https://github.com/khaeru/sdmx/pull/159."""
+    # Agency and contained Contact with distinct names
+    elem = E(
+        qname("str:Agency"),
+        E(qname("com:Name"), "Foo Agency"),
+        E(qname("str:Contact"), E(qname("com:Name"), "Jane Smith")),
+        id="FOO",
+    )
+
+    # - Create a reader
+    # - Convert to a file-like object compatible with read_message()
+    # - Parse the element
+    # - Retrieve the resulting object
+    reader = Reader()
+    reader.read_message(BytesIO(etree.tostring(elem)))
+    obj = reader.pop_single(common.Agency)
+
+    assert "Foo Agency" == str(obj.name)
+    assert "Jane Smith" == str(obj.contact[0].name)
+
+
 # Each entry is a tuple with 2 elements:
 # 1. an instance of lxml.etree.Element to be parsed.
 # 2. Either:
diff --git a/sdmx/tests/writer/test_writer_xml.py b/sdmx/tests/writer/test_writer_xml.py
index 867ce269..af0c8ad7 100644
--- a/sdmx/tests/writer/test_writer_xml.py
+++ b/sdmx/tests/writer/test_writer_xml.py
@@ -50,7 +50,11 @@ def dks(dsd):
 
 def test_contact() -> None:
     c = m.Contact(
-        name="John Smith", org_unit="Human Resources", telephone="+1234567890"
+        name="John Smith",
+        org_unit="Human Resources",
+        telephone="+1234567890",
+        uri=["https://example.org"],
+        email=["john.smith@example.org"],
     )
 
     result = sdmx.to_xml(c, pretty_print=True)
@@ -60,6 +64,8 @@ def test_contact() -> None:
   <com:Name xml:lang="en">John Smith</com:Name>
   <str:Department xml:lang="en">Human Resources</str:Department>
   <str:Telephone>+1234567890</str:Telephone>
+  <str:URI>https://example.org</str:URI>
+  <str:Email>john.smith@example.org</str:Email>
 </str:Contact>
 """
     )
diff --git a/sdmx/writer/xml.py b/sdmx/writer/xml.py
index f779b374..10bd43bb 100644
--- a/sdmx/writer/xml.py
+++ b/sdmx/writer/xml.py
@@ -406,8 +406,8 @@ def _contact(obj: model.Contact):
         + i11lstring(obj.org_unit, "str:Department")
         + i11lstring(obj.responsibility, "str:Role")
         + ([Element("str:Telephone", obj.telephone)] if obj.telephone else [])
-        + [Element("str:URI", text=value) for value in obj.uri]
-        + [Element("str:Email", text=value) for value in obj.email]
+        + [Element("str:URI", value) for value in obj.uri]
+        + [Element("str:Email", value) for value in obj.email]
     )
     return elem