Do u let NB stay at parent in law home?

My In law suggesting they wanted to take care my NB and stay with them at night so that me n my hubby got enough rest at night.. i doesnt like it..especially my MIL mentioned that baby will sleep same bed with her/beside her... i worry later my bb tot my MIL is me....i strongly disagree,how can bb sleep with grandmother other than bb mother. my hubby support the idea coz he feel frustrated at nite bcoz not enuf rest.. Any better idea how to handle sleepless/crying bb at nite?