Is the dream in which the questioner saw her mother asking her not to name her daughter after her a dream from Satan, especially since it was after the dawn prayer, and is it correct to say that "a dream is from Satan and a vision is from God"?

The dream mentioned has no legal consequences. It might be a mere self--discourse. Therefore, there is no objection to naming your daughter after her mother or any other permissible name. "A good vision is from Allah, and a bad dream is from Satan. So, if anyone of you sees a dream that he dislikes, he should spit on his left side thrice and seek refuge with Allah from its evil, then it will not harm him."