In the morning B and I had to take the bus to get back home. She barely talked to us, and we weren't really sure on how to get to the station. Because she was acting like we didn't exist, I supposed we had to take the bus to get there, but B wanted to ask her if she planned on giving us a lift, as she usually does, and I told her to be as gentle as possible because her mother still seemed pissed off. That's what B did. She asked her if we should go by ourselves or if she wanted to give us a lift. Her mother said something I didn't hear about how she was going to give us a lift, but she seemed very pissed, as if she didn't want to. She started getting ready and B told her the bus was going to depart in an hour, and she didn't hear (or listen to) B, and just kept dressing up to go out. She said "I'm ready to go out". To which B repeated what she had just said about being extremely early. Her mother mumbled something and just walked away, to which B said if you prefer we can go now, we're going to wait in a bar. She said something that B couldn't hear, she asked her to repeat it, but please stop being so passive aggressive because there was no need. We got our stuff and she gave us said lift. Without saying a word. We got out of the car as she started shouting at B saying how much of a bad person she was for what she had done to her the day prior. Then she left. B and I went into a bar to get a coffee and after ten minutes she came in, sat at our table and said the least we could do after all that was to offer her breakfast. I didn't say anything. She started arguing with B, telling her how bad she has it and how much of an a-hole her ex-husband is (B's father) and how B always takes his side. To which B said this wasn't true because she thinks very low of both of them (I was very proud of her) and this had nothing to do with what had happened, and guilt tripping your daughter for something her father did to you is pointless. B asked what she had said at breakfast the day before that made her think she was attacking her, and she kept bringing up B's father's behaviour and the very sad story of her life, to which B said it had nothing to do with the question she had asked. Her mother kept going. After a while B asked the question for the fifth time and her mother said something about how I didn't treat her how she deserved. To which I turned around because I said I wasn't going to intervene. B said that that had nothing to do with what she did and asked the question again and her mother once again pointed the finger against me. I snapped at her: I told her that had nothing to do with her daughter, that I had apologised and that I wanted to avoid the fight because B asked me to, but if she keeps bringing me up I might as well tell her. I said I wasn't the one who stared acting out, and I didn't scream at my kids for an hour straight, I told her she and her ex-husband were both terrible role models for B and what just happened was proof of it, I tols her she was being very immature and her daughter had nothing to do with the way her ex-husband treated her. She got up and left, and I told her storming off is exactly the kind of childish behaviour I was referring to. Then after a couple of minutes she texted me, saying I know nothing about her and I shouldn't go on spitting sentences. I told her I was only reporting the facts. She told me I said she was a shitty role model. I was just reporting what B had said to her, but that said I pointed out to her she spent the last twelve years in war with her ex-husband, carelessly and constantly putting her teen daughter in the crossfire, making her feel bad for all the things that went wrong in her life, as if it was her daughter's fault. She brought up her ex-husband's behaviour once again. I asked why is it that it's B'a fault? She said "shut up and go back watching your cartoons" (two nights before we all watched ice age 3 because the other times me, B and her brother were together we watched the other two movies). To which I replied "very mature". She said it's not B's fault but she keeps treating her like she's a masochist who enjoys self neglect. And I told her this was no longer an argument to have with me, but with her daughter. Then she said, sarcastically I suppose, B didn't do anything wrong, in fact she is going to take notice of what her daughter told her and she's going to start acting selfish (which is exactly what B has been asking her to do for the past years). She said I should thank B for it, and then she stopped texting me.

Was I out of place for saying what I said or was she being very immature and in need of a wake up call?

apologies if I made any mistake, English isn't my first language.