[batch-file] Running a shell script through Cygwin on Windows

Sure. On my (pretty vanilla) Cygwin setup, bash is in c:\cygwin\bin so I can run a bash script (say testit.sh) from a Windows batch file using a command like:

C:\cygwin\bin\bash testit.sh

... which can be included in a .bat file as easily as it can be typed at the command line, and with the same effect.