Mil ?

Okay so yesterday my bf and I got into an argument so I got my daughter ready and we left. I don’t drive so I went to a near by park to just cool down it was hot as heck, later I go back to my bfs and his mom isn’t there, she comes home from where ever she’s at and she’s like izaiah (my bf )told me u went to ur grandmas, she was just asking if I went bc they did something or just bc since I came back quick, she come home when I was gone and I had left to the park already and I just said yea cause I didn’t want to explain myself and then she would be mad that I took my daughter out in the hot sun, she told me she doesn’t appreciate me lying to her , do u guys think it was wrong of me to lie ? Or she doesn’t need to know where I go ?? I didn’t lie about anything big, he told her that so I just went along with it. I also live with her bc my bf still lives with his parent and we had a baby so I live with them