Jealousy between grandparents

My mother and my boyfriends mother do not seem to see eye to eye when it comes to my 5week old daughter. My mother has respected my wishes and not asked to take my daughter for a few hours yet, however my boyfriends mother has demanded to have her on several days even taking her overnight (we were staying in the same house so i dont understand why she took her) i told her no that i wasnt ready to spend a night away from my baby (she is only 5 weeks) but she and my boyfriend made me out to be horrible and as though i dont trust her to look after our daughter and my boyfriend told her to go ahead and take her for the night. Now my mother is jealous she hasnt had the chance to mind her and thinks i prefer her other grandmother.