There are different tools that can help you track staff time off. You can even do it manually by writing it on a clean sheet of paper or a time sheet on your computer so that you can review it on your home.
You can also use Google Docs and it is for free. You can also share it to everyone with the use of the internet. It can be easily access anywhere you are and it is more secure, you can restrict people who are using it for who can only view and who can edit the file.
I can also visit this blog that discusses time tracking tools and its features maybe this can help.