There is a method for drawing from a
              Gdk::Pixbuf to a Cairo::Context.
              A Gdk::Pixbuf buffer is a useful wrapper
              around a collection of pixels, which can be read from files, and
              manipulated in various ways.
          
              Probably the most common way of creating
              Gdk::Pixbufs is to use
              Gdk::Pixbuf::create_from_file() or
              Gdk::Pixbuf::create_from_resource(),
              which can read an image file, such as a png file into a pixbuf
              ready for rendering.
          
              The Gdk::Pixbuf can be rendered by setting
              it as the source pattern of the Cairo context with
              Gdk::Cairo::set_source_pixbuf().
              Then draw the image with either Cairo::Context::paint()
              (to draw the whole image), or Cairo::Context::rectangle()
              and Cairo::Context::fill() (to fill the
              specified rectangle). set_source_pixbuf()
              is not a member of Cairo::Context. It takes
              a Cairo::Context as its first parameter.
          
Here is a small bit of code to tie it all together: (Note that usually you wouldn't load the image every time in the draw signal handler! It's just shown here to keep it all together.)
bool MyArea::on_draw(const Cairo::RefPtr<Cairo::Context>& cr)
{
  Glib::RefPtr<Gdk::Pixbuf> image = Gdk::Pixbuf::create_from_file("myimage.png");
  // Draw the image at 110, 90, except for the outermost 10 pixels.
  Gdk::Cairo::set_source_pixbuf(cr, image, 100, 80);
  cr->rectangle(110, 90, image->get_width()-20, image->get_height()-20);
  cr->fill();
  return true;
}
Here is an example of a simple program that draws an image. The program loads the image from a resource file. See the Gio::Resource and glib-compile-resources section. Use glib-compile-resources to compile the resources into a C source file that can be compiled and linked with the C++ code. E.g.
$ glib-compile-resources --target=resources.c --generate-source image.gresource.xml
File: myarea.h (For use with gtkmm 3, not gtkmm 2)
#ifndef GTKMM_EXAMPLE_MYAREA_H
#define GTKMM_EXAMPLE_MYAREA_H
#include <gtkmm/drawingarea.h>
#include <gdkmm/pixbuf.h>
class MyArea : public Gtk::DrawingArea
{
public:
  MyArea();
  virtual ~MyArea();
protected:
  //Override default signal handler:
  bool on_draw(const Cairo::RefPtr<Cairo::Context>& cr) override;
  Glib::RefPtr<Gdk::Pixbuf> m_image;
};
#endif // GTKMM_EXAMPLE_MYAREA_H
File: main.cc (For use with gtkmm 3, not gtkmm 2)
#include "myarea.h"
#include <gtkmm/application.h>
#include <gtkmm/window.h>
int main(int argc, char** argv)
{
  auto app = Gtk::Application::create(argc, argv, "org.gtkmm.example");
  Gtk::Window win;
  win.set_title("DrawingArea");
  win.set_default_size(300, 200);
  MyArea area;
  win.add(area);
  area.show();
  return app->run(win);
}
File: myarea.cc (For use with gtkmm 3, not gtkmm 2)
#include "myarea.h"
#include <cairomm/context.h>
#include <giomm/resource.h>
#include <gdkmm/general.h> // set_source_pixbuf()
#include <glibmm/fileutils.h>
#include <iostream>
MyArea::MyArea()
{
  try
  {
    // The fractal image has been created by the XaoS program.
    // http://xaos.sourceforge.net
    m_image = Gdk::Pixbuf::create_from_resource("/image/fractal_image.png");
  }
  catch(const Gio::ResourceError& ex)
  {
    std::cerr << "ResourceError: " << ex.what() << std::endl;
  }
  catch(const Gdk::PixbufError& ex)
  {
    std::cerr << "PixbufError: " << ex.what() << std::endl;
  }
  // Show at least a quarter of the image.
  if (m_image)
    set_size_request(m_image->get_width()/2, m_image->get_height()/2);
}
MyArea::~MyArea()
{
}
bool MyArea::on_draw(const Cairo::RefPtr<Cairo::Context>& cr)
{
  if (!m_image)
    return false;
  Gtk::Allocation allocation = get_allocation();
  const int width = allocation.get_width();
  const int height = allocation.get_height();
  // Draw the image in the middle of the drawing area, or (if the image is
  // larger than the drawing area) draw the middle part of the image.
  Gdk::Cairo::set_source_pixbuf(cr, m_image,
    (width - m_image->get_width())/2, (height - m_image->get_height())/2);
  cr->paint();
  return true;
}
File: image.gresource.xml (For use with gtkmm 3, not gtkmm 2)
<?xml version="1.0" encoding="UTF-8"?>
<gresources>
  <gresource prefix="/image">
    <file>fractal_image.png</file>
  </gresource>
</gresources>