your LL can say all they want until they are blue in the face BUT until you are given a proper written notice that meets your states laws for month to month tenants and month to month tenancy is also defined by your state , not having a written lease doesnt mean that there is no tenancy , As far as your husband goes you didnt say how long ago he moved out but even if he has been gone for a week or even a month I doubt he would be received well by a judge if he actually tried to file for a eviction to get you out since he cant argue he sublet to his wife , I think it would make him look foolish in court .