There is, of course, no published official policy for "family emergency" cancellations. You could call Mem Svcs and explain the situation in detail. But usually I'd think they make a "case by case" decision, and would have to have it approved by a supervisor, if they do decide to make an adjustment of any kind. I would not "expect" an adjustment, but it never hurts to ask.
And in any event, personally, I don't think I would make an adjustment publically known on an internet board because some folks could falsely describe a similar situation in the future to Mem Svcs to get an adjustment even if they did not have an actual emergency. Good luck to you with Mem Svcs, I hope you are able to reach an equitable resolution.