It's a tricky situation to be in, as I discovered yesterday for taking my first day off school to care for my sick daughter; returned to work today and my Head give me a ticking off. Sadly my goodwill has now flown out of the window and I shall refrain from doing any more unpaid overtime or all of those extra duties which aren't in my contract (like fire warden, first aider etc). Unsupportive employers are not worthy. It's a two way thing. You give more than 100% to them, it is only fair they help you out.
Never has this been about being paid when you weren't at work - it's normally about the fact that you had a day off!
Sadly, this is not the first time it has happened to me.
In 2004 my daughter contracted pneumonia (and then bronchilitis from the hospital) when she was a few weeks old. My wife had to stay in hospital with her to breastfeed, and I was suddenly left to look after my two other children and a 37 hours per week job. My employer, the Local Authority, refused to give me time off, so I walked out of the office and took it, then discovered I was entitled to Dependants Leave and filled in the appropriate forms. My Manager tried to discipline me over it! On the day of my telling off, she was off sick (ironic)! Another manager dealt with it and said there is no issue, as the leave was authorised.
Again, goodwill disappears out of the window.