This should work just fine using LockBits/BitmapData, if you are using a 32bpp [P]ARGB pixel format. The trick is that you will have to copy the data one row at a time so that it aligns in the correct places. You should be able to do this using something like:
Rectangle srcArea = new Rectangle(0, 0, srcBitmap.Width, srcBitmap.Height);
BitmapData srcData = srcBitmap.LockBits(srcArea, ImageLockMode.ReadOnly, destBitmap.PixelFormat);
Rectangle destArea = new Rectangle(25, 25, srcBitmap.Width, srcBitmap.Height);
BitmapData destData = destBitmap.LockBits(destArea, ImageLockMode.WriteOnly, destBitmap.PixelFormat);
IntPtr srcPtr = srcData.Scan0;
IntPtr destPtr = destData.Scan0;
byte[] buffer = new byte[srcData.Stride];
for (int i = 0; i < srcData.Height; ++i)
{
Marshal.Copy(srcPtr, buffer, 0, buffer.Length);
Marshal.Copy(buffer, 0, destPtr, buffer.Length);
srcPtr += srcData.Stride;
destPtr += destData.Stride;
}
srcBitmap.UnlockBits(srcData);
destBitmap.UnlockBits(destData);
As a warning, this code won't work as is because I am not sure what the right incantations are for incrementing IntPtr's. I've done this same type of thing before, but in C++. Also, I don't know if there is a way to directly copy the data instead of using an intermediate buffer.
An additional caveat: the LockBits call srcBitmap and the sizing of the buffer assume that srcBitmap will be completely enclosed in destBitmap. If this is not the case (some part of the bitmap will be cropped off) the area locked and the size of the buffer will need to be adjusted.
If you are not using a 32bpp pixel format (ie 24bpp), it will be more difficult. The stride of your source BitmapData may include some amount of padding that should not be copied. You could work around this by calculating the amount of actual pixel data in a source row, and copy this amount. Indexed pixel formats would be even more work.