I wrote a simple CURL and put it in a script file.
if i run mintty first and then \"test.sh\" it runs the script in the file just fine. Works perfectly.
how
I also use the solution offered by nkman, but I add the '-h always' option so that the console remains opened until I hit enter, to see what happened. So this is the target of my shortcut:
C:\cygwin\bin\mintty.exe -h always /bin/bash -l -e '/cygdrive/c/cygwin/home/Administrator/startup.sh'