I don't know how long you have been teaching but I taught primary school, mostly infants, for 28 years and I'm afraid you will come across a lot of children like this. She can be demanding attention for many reasons. A chat with the parents might give you some inkling but be aware that it can take a long time to get vulnerable people to trust you. I don't know what kind of area you teach in but I taught in a deprived area and when I wanted to get to the root of a problem it would often take an hour of chatting till the parent can come round and tell you their problems, and sometimes many times to get there.
This little girl is obviously needing attention for some reason. What is she like academically, socially, appearance etc. What do the other children think of her? Do they like her? Do they play with her? Remember even very young children can be horrible to each other. You don't actually, have to answer these questions. Just something to get you thinking. :>)
I think you did the right thing to inform senior staff and I wouldn't hesitate to go back to them if it continues. Could you maybe do something that will boost her self esteem in a more positive way? Do we still have 'helping hands' in the infant classroom these days?

Give her responsibility for a job that is hers and only hers. Say thank you and well done, Mary, but don't go too overboard so doesn't obsess about that particular thing. How about a reward sheet for her? I sat on my seat for X amount of minutes = a star, 10 stars = a sticker and so on.
She's lucky to have you for a teacher.
And the other thing I believe (but I know it's a bit iffy in the current climate) is that physical contact can go a long way with little children like this. A pat on the shoulder, an arm briefly round a shoulder or even a hug can all help. However I don't know what your schools policy is on this but young children thrive on it.