my grandmother's (fathers mother) name was rose meglio. i dont know if she is the same as your rose but she might be a sister of alexander since they both came from italy around the same time. i will try to get more info. rose meglio married angelo armieri here in the USA and had children--angelo, anthony, catherine, mary, and frank (my dad). youve mentioned names that are the same but i'm not sure if there is a relation here. they settled in paterson, new jersey. i sincerely hope we are related somehow, ive always been interested in this but never had the time to pursue it before. now i do have some time. i will post any info i get, good luck to you.