Could you explain more - what actually happened? Was Elizaveta mainly brought up by Carol 1st and Carmen Sylva? Or did they insist that she have nannies thus depriving her parents of enough involvement in her upbringing? Thanks 
carol insisted that every nanny/tutor/governess be named by political criteria. things like, what king they had raised, nationality, etc...
and here i bring out my pakula book again

:
about carol's birth (just to set the atmosphere): 'in king carol's opinion, every situation, of great or little importance, had to be subjected to a thorough analysis as far as the political implications went. the birth of a future heir was doubtless, not a minor event. it needed an endless chain of decisions, starting with the establishment of the place, "doctors, nannies, dates, names, hours of day and even rooms." the king examined each and every one of them, balancing the pro and against arguments and their effects on the nation. everything was filled with bad predictions. everywhere there were traps for the ignorants.'
the birth of princess elizabeth happened after queen elizabeth had come back from her exile in neuwied: 'freshly arrived at the palace, she started claiming her position as a mistress - something that included the "dethronement: of her successor. the queen considered herself an authority in children and nannies. "everyone thinks they have the right to meddle in my business and sometimes they're really annoying me", wrote marie to her father in law. [...] the princess had a dispute with the queen, irritated when elizabeth told her that her children don't belong to their mother, but to the king and to romania.'
'even if for different reasons, the three women [queen elizabeth, cousin charly and queen elizabeth's lady in waiting, olga mavrogheni] agreed on two things: marie was "too english" and "too frivolous". they called her "the young frivolous woman", feeling worried that she might have ambitions of personal glamour. cousin charly and mrs. mavrogheni firmly supported the queen in her intrigues to control the educations of prince carol and princess elizabeth. [...] for a woman who had so passionatly wanted children, the presence of marie's children was an irresitible temptation. [...] invited to spend christmes in cotroceni [the residence of ferdinand and marie], the queen found little carol and elizabeth plauying around the tree: "good lord" she exclaimed seeing marie's children, "do not forget me... you cannot. this is more than i can bare."'
'queen elizabeth was willing to find a reason to take missy's children. up until the winter of 1898, the queen managed to convince the king that the princess was irresponisble and that he had to hire a governess for carol. her choice had stopped on miss winter, a good friend of the wied family which had been hired by elizabeth's cousin, the queen of holland. marie, who suspected a plot, agreed to talk to the governess, but only with the condition that, had she not liked her, she wouldn't be forced to accept her.
"...ever since i saw her, i lost all hope... the woman was unbareable: heavy, with wide eyes, a huge nose and a revolting mouth; she was vulgar, so vulgar that only someone of her nationality could tell. and besides, her voice, her ordinary talk, her mediocre language, unrefined... her looks were shocking, her speaking only made it worse..."
the princess said that she cannot accept this woman as her son's governess, but the prince would not face the king and queen. marie was forced to give in, but with the "express condition" that miss winter comes only in the spring of 1899. suddenly, in january, as she was preparing for a trip to gotha on the occasion of her parents' silver wedding, she was told that that night miss winter was arriving to take care of her children while she was gone.
marie asked to be allowed to take her children with her. "in these conditions, i could not agree to leave my children there..." she explained in a letter to her father in law. "i was against the idea of governess as a principle... and, besides, i believed miss winter could be manipulated by aunty... i am sure that this is not our last conflict."'
'[nando and missy went to coburg], nando came back and missy stayed in germany. she was still there when their son carol caught typhoid fever. ferdinand sent her an urgent telegram and she hurried home. when she arrived to cotroceni, she ran up the stairs, but miss winter stopped her, barring her way. "it's dangerous for anyone to step in the baby's room", she announced. "the doctor said...." for the first time in his life, the prince interfeared for his wife: "step aside" he said to the governess. "the princess is the child's mother."'
missy went back to coburg in a conflict that is quoted in the missy and boris thread. she only came back when miss winter was fired.