diff --git a/yt_dlp/extractor/pbs.py b/yt_dlp/extractor/pbs.py
index 7b84515e2..2f839a2e9 100644
--- a/yt_dlp/extractor/pbs.py
+++ b/yt_dlp/extractor/pbs.py
@@ -61,7 +61,7 @@ class PBSIE(InfoExtractor):
         (r'video\.wyomingpbs\.org', 'Wyoming PBS (KCWC)'),  # http://www.wyomingpbs.org
         (r'video\.cpt12\.org', 'Colorado Public Television / KBDI 12 (KBDI)'),  # http://www.cpt12.org/
         (r'video\.kbyueleven\.org', 'KBYU-TV (KBYU)'),  # http://www.kbyutv.org/
-        (r'video\.thirteen\.org', 'Thirteen/WNET New York (WNET)'),  # http://www.thirteen.org
+        (r'(?:video\.|www\.)thirteen\.org', 'Thirteen/WNET New York (WNET)'),  # http://www.thirteen.org
         (r'video\.wgbh\.org', 'WGBH/Channel 2 (WGBH)'),  # http://wgbh.org
         (r'video\.wgby\.org', 'WGBY (WGBY)'),  # http://www.wgby.org
         (r'watch\.njtvonline\.org', 'NJTV Public Media NJ (WNJT)'),  # http://www.njtvonline.org/
@@ -208,16 +208,40 @@ class PBSIE(InfoExtractor):
                 'description': 'md5:31b664af3c65fd07fa460d306b837d00',
                 'duration': 3190,
             },
+            'skip': 'dead URL',
+        },
+        {
+            'url': 'https://www.thirteen.org/programs/the-woodwrights-shop/carving-away-with-mary-may-tioglz/',
+            'info_dict': {
+                'id': '3004803331',
+                'ext': 'mp4',
+                'title': "The Woodwright's Shop - Carving Away with Mary May",
+                'description': 'md5:7cbaaaa8b9bcc78bd8f0e31911644e28',
+                'duration': 1606,
+                'display_id': 'carving-away-with-mary-may-tioglz',
+                'chapters': [],
+                'thumbnail': 'https://image.pbs.org/video-assets/NcnTxNl-asset-mezzanine-16x9-K0Keoyv.jpg',
+            },
         },
         {
             'url': 'http://www.pbs.org/wgbh/pages/frontline/losing-iraq/',
-            'md5': '6f722cb3c3982186d34b0f13374499c7',
+            'md5': '372b12b670070de39438b946474df92f',
             'info_dict': {
                 'id': '2365297690',
                 'ext': 'mp4',
                 'title': 'FRONTLINE - Losing Iraq',
                 'description': 'md5:5979a4d069b157f622d02bff62fbe654',
                 'duration': 5050,
+                'chapters': [
+                    {'start_time': 0.0, 'end_time': 1234.0, 'title': 'After Saddam, Chaos'},
+                    {'start_time': 1233.0, 'end_time': 1719.0, 'title': 'The Insurgency Takes Root'},
+                    {'start_time': 1718.0, 'end_time': 2461.0, 'title': 'A Light Footprint'},
+                    {'start_time': 2460.0, 'end_time': 3589.0, 'title': 'The Surge '},
+                    {'start_time': 3588.0, 'end_time': 4355.0, 'title': 'The Withdrawal '},
+                    {'start_time': 4354.0, 'end_time': 5051.0, 'title': 'ISIS on the March '},
+                ],
+                'display_id': 'losing-iraq',
+                'thumbnail': 'https://image.pbs.org/video-assets/pbs/frontline/138098/images/mezzanine_401.jpg',
             },
         },
         {
@@ -477,6 +501,7 @@ class PBSIE(InfoExtractor):
                 r"div\s*:\s*'videoembed'\s*,\s*mediaid\s*:\s*'(\d+)'",  # frontline video embed
                 r'class="coveplayerid">([^<]+)<',                       # coveplayer
                 r'<section[^>]+data-coveid="(\d+)"',                    # coveplayer from http://www.pbs.org/wgbh/frontline/film/real-csi/
+                r'\bclass="passportcoveplayer"[^>]+\bdata-media="(\d+)',  # https://www.thirteen.org/programs/the-woodwrights-shop/who-wrote-the-book-of-sloyd-fggvvq/
                 r'<input type="hidden" id="pbs_video_id_[0-9]+" value="([0-9]+)"/>',  # jwplayer
                 r"(?s)window\.PBS\.playerConfig\s*=\s*{.*?id\s*:\s*'([0-9]+)',",
                 r'<div[^>]+\bdata-cove-id=["\'](\d+)"',  # http://www.pbs.org/wgbh/roadshow/watch/episode/2105-indianapolis-hour-2/