Maybe my math is wrong, maybe I'm being ripped off...

Ma
I nanny an 8-month-old little boy from 7 am - 8 pm Mom-Fri. I get paid $120/wk and often take him overnight on the weekends for $60/night. The money isn't much, but he's super easy and I work from home so I don't mind. 
Last week (1/2/17 - 1/6/17) I wasn't paid. Then I had him this weekend (1/7/17 - 1/8/17) and they paid me $60.
So with last week and this week, they owe me $240, right? 
Well, apparently, they don't think so. She doesn't plan on paying me for last week. I'm pissed!
It's not even about the money at this point. They treat me like shit! I do everything. I drive the baby around, I buy his diapers, I'm with him almost every single day. I take him to his doctors appointments. I am about .14 seconds away from quiting. The only thing keeping me is the little boy. I adore him!
Am I wrong for feeling this way?

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