diff --git a/src/PIL/Image.py b/src/PIL/Image.py
index d64093df7..038829213 100644
--- a/src/PIL/Image.py
+++ b/src/PIL/Image.py
@@ -3289,7 +3289,9 @@ class Exif(MutableMapping):
         if not data:
             return
 
-        self.fp = io.BytesIO(data[6:])
+        if data.startswith(b"Exif\x00\x00"):
+            data = data[6:]
+        self.fp = io.BytesIO(data)
         self.head = self.fp.read(8)
         # process dictionary
         from . import TiffImagePlugin

getexif() crashes when reading empty EXIF data from a PNG file saved by RawTherapy 5.8
### What did you do?
Converted a RAW file to PNG using RawTherapy 5.8.
Opened the image file with Pillow and called getexif()

### What did you expect to happen?
Since the file has no EXIF data, the expected output is None or an empty dictionary.
`pyexiv2` returns an empty dictionary.

### What actually happened?
```
Traceback (most recent call last):
  File "/home/roman/Projects/pillow-png-getexif/read_png_exif.py", line 8, in <module>
    exif = img.getexif()
  File "/home/roman/Projects/mikula/venv/lib/python3.8/site-packages/PIL/PngImagePlugin.py", line 951, in getexif
    self._exif.load(exif_info)
  File "/home/roman/Projects/mikula/venv/lib/python3.8/site-packages/PIL/Image.py", line 3271, in load
    self._info = TiffImagePlugin.ImageFileDirectory_v1(self.head)
  File "/home/roman/Projects/mikula/venv/lib/python3.8/site-packages/PIL/TiffImagePlugin.py", line 900, in __init__
    super().__init__(*args, **kwargs)
  File "/home/roman/Projects/mikula/venv/lib/python3.8/site-packages/PIL/TiffImagePlugin.py", line 466, in __init__
    raise SyntaxError("not a TIFF file (header %r not valid)" % ifh)
SyntaxError: not a TIFF file (header b'\x00\x00\x11\x00\x00\x01\x04\x00' not valid)
```

### What are your OS, Python and Pillow versions?
* OS:  Ubuntu 20.04
* Python: Python version 3.8.2 [GCC 9.3.0]
* Pillow: 7.1.1

```python
fn = "mug_small.png"
img = Image.open(fn)
exif = img.getexif()
```
The code and the test image are available on [github](https://github.com/RomanKosobrodov/pillow-png-getexif).
diff --git a/Tests/test_file_webp_metadata.py b/Tests/test_file_webp_metadata.py
index 9fa20e403..a2a05f96b 100644
--- a/Tests/test_file_webp_metadata.py
+++ b/Tests/test_file_webp_metadata.py
@@ -30,6 +30,15 @@ def test_read_exif_metadata():
             assert exif_data == expected_exif
 
 
+def test_read_exif_metadata_without_prefix():
+    with Image.open("Tests/images/flower2.webp") as im:
+        # Assert prefix is not present
+        assert im.info["exif"][:6] != b"Exif\x00\x00"
+
+        exif = im.getexif()
+        assert exif[305] == "Adobe Photoshop CS6 (Macintosh)"
+
+
 def test_write_exif_metadata():
     file_path = "Tests/images/flower.jpg"
     test_buffer = BytesIO()

pip install -e .[dev]
parse_log_pytest
requirements.txt
apt-get update apt-get install -y gcc libjpeg-dev zlib1g-dev libtiff5-dev libfreetype6-dev liblcms2-dev libwebp-dev tcl8.6-dev tk8.6-dev libharfbuzz-dev libfribidi-dev libxcb1-dev
3.9
requirements.txt
pytest --no-header -rA --tb=line --color=no -p no:cacheprovider -W ignore::DeprecationWarning
alabaster==0.7.16
babel==2.17.0
black==25.1.0
blessed==1.20.0
build==1.2.2.post1
certifi==2025.1.31
charset-normalizer==3.4.1
check-manifest==0.50
click==8.1.8
coverage==7.8.0
docutils==0.21.2
exceptiongroup==1.2.2
idna==3.10
imagesize==1.4.1
importlib_metadata==8.6.1
iniconfig==2.1.0
jarn.viewdoc==2.7
Jinja2==3.1.6
MarkupSafe==3.0.2
mypy-extensions==1.0.0
olefile==0.47
packaging==24.2
pathspec==0.12.1
-e git+https://github.com/python-pillow/Pillow.git@9df95e77c58566dff411b61f44298ebbbeb9efae#egg=Pillow
platformdirs==4.3.7
pluggy==1.5.0
pycodestyle==2.13.0
pyflakes==3.3.1
Pygments==2.19.1
pyproject_hooks==1.2.0
pyroma==4.2
pytest==8.3.5
pytest-cov==6.0.0
requests==2.32.3
six==1.17.0
snowballstemmer==2.2.0
Sphinx==7.4.7
sphinx-rtd-theme==3.0.2
sphinxcontrib-applehelp==2.0.0
sphinxcontrib-devhelp==2.0.0
sphinxcontrib-htmlhelp==2.1.0
sphinxcontrib-jquery==4.1
sphinxcontrib-jsmath==1.0.1
sphinxcontrib-qthelp==2.0.0
sphinxcontrib-serializinghtml==2.0.0
tomli==2.2.1
trove-classifiers==2025.3.19.19
typing_extensions==4.13.0
urllib3==2.3.0
wcwidth==0.2.13
zipp==3.21.0

name: Pillow
channels:
  - defaults
  - https://repo.anaconda.com/pkgs/main
  - https://repo.anaconda.com/pkgs/r
  - conda-forge
dependencies:
  - _libgcc_mutex=0.1=main
  - _openmp_mutex=5.1=1_gnu
  - ca-certificates=2025.2.25=h06a4308_0
  - ld_impl_linux-64=2.40=h12ee557_0
  - libffi=3.4.4=h6a678d5_1
  - libgcc-ng=11.2.0=h1234567_1
  - libgomp=11.2.0=h1234567_1
  - libstdcxx-ng=11.2.0=h1234567_1
  - ncurses=6.4=h6a678d5_0
  - openssl=3.0.16=h5eee18b_0
  - pip=25.0=py39h06a4308_0
  - python=3.9.21=he870216_1
  - readline=8.2=h5eee18b_0
  - setuptools=75.8.0=py39h06a4308_0
  - sqlite=3.45.3=h5eee18b_0
  - tk=8.6.14=h39e8969_0
  - tzdata=2025a=h04d1e81_0
  - wheel=0.45.1=py39h06a4308_0
  - xz=5.6.4=h5eee18b_1
  - zlib=1.2.13=h5eee18b_1
  - pip:
      - alabaster==0.7.16
      - babel==2.17.0
      - black==25.1.0
      - blessed==1.20.0
      - build==1.2.2.post1
      - certifi==2025.1.31
      - charset-normalizer==3.4.1
      - check-manifest==0.50
      - click==8.1.8
      - coverage==7.8.0
      - docutils==0.21.2
      - exceptiongroup==1.2.2
      - idna==3.10
      - imagesize==1.4.1
      - importlib-metadata==8.6.1
      - iniconfig==2.1.0
      - jarn-viewdoc==2.7
      - jinja2==3.1.6
      - markupsafe==3.0.2
      - mypy-extensions==1.0.0
      - olefile==0.47
      - packaging==24.2
      - pathspec==0.12.1
      - platformdirs==4.3.7
      - pluggy==1.5.0
      - pycodestyle==2.13.0
      - pyflakes==3.3.1
      - pygments==2.19.1
      - pyproject-hooks==1.2.0
      - pyroma==4.2
      - pytest==8.3.5
      - pytest-cov==6.0.0
      - requests==2.32.3
      - six==1.17.0
      - snowballstemmer==2.2.0
      - sphinx==7.4.7
      - sphinx-rtd-theme==3.0.2
      - sphinxcontrib-applehelp==2.0.0
      - sphinxcontrib-devhelp==2.0.0
      - sphinxcontrib-htmlhelp==2.1.0
      - sphinxcontrib-jquery==4.1
      - sphinxcontrib-jsmath==1.0.1
      - sphinxcontrib-qthelp==2.0.0
      - sphinxcontrib-serializinghtml==2.0.0
      - tomli==2.2.1
      - trove-classifiers==2025.3.19.19
      - typing-extensions==4.13.0
      - urllib3==2.3.0
      - wcwidth==0.2.13
      - zipp==3.21.0
prefix: /opt/conda/envs/Pillow

Tests/test_file_webp_metadata.py::test_read_exif_metadata_without_prefix
Tests/test_file_webp_metadata.py::test_read_exif_metadata Tests/test_file_webp_metadata.py::test_write_exif_metadata Tests/test_file_webp_metadata.py::test_read_icc_profile Tests/test_file_webp_metadata.py::test_write_icc_metadata Tests/test_file_webp_metadata.py::test_read_no_exif Tests/test_file_webp_metadata.py::test_write_animated_metadata
src/PIL/Image.py
src/PIL/Image.py