Nanny here👋
In first instance, it looks like the nursery acted accordingly and called you directly rather than waiting until pick up.
A couple of concerns;
The child whose behavior is causing concern; a) are their behavioural needs being met? children go through phases of "acting out", and for some it's a way of communicating, anger, frustration, overwhelm, over stimulation etc. are the setting fully supporting the behaviour as it presents, and figuring out the route cause? do they have an action plan in place for said child? (be mindful that per x policies the nursery won't be able to give you a lot of info on the other child, but still food for thought)
Questions to ask the setting;
How do the setting plan to review policies and practices in regards to the incident?
Have either of the children had any negative encounters previously? if so, what?
Were staff supervising adequately? How long did it take staff to intervene? Was the room adequately staffed?
Referring back to the above- is the setting aware of any previous behavioral difficulties with said child and have they planned accordingly to support and prevent?
What is the settings follow up plan? How will they support the child in question, as well as your own to support the children to navigate through the incidents?
Be sure to request physical copies of the accident/injury forms and photograph any marks post incident where necessary.
Having nannied for a child who was "heavy handed/ had rough hands", boundaries were key, explaining that hands are not for hitting, it's x's turn now, it's your turn soon, explaining how hands can be used positively, explaining x behaviour is inappropriate, and what kind of behavior I'd like to see instead. It definitely felt like constant nagging and feeling like a broken record, the child who was known for the cause of most accident forms, is now better behaved that some of their peers, and a popular member of their cohort. I made an effort to offer play opportunities with the "the heavy handed child" and the children who they had "issues" with and used it as an opportunity to overcome the problems in a controlled environment, it took some time, given their age, and now they are really good friends. It's so important to support children how and as they present themselves whether that be nipping bad behavior early, or helping them excel in their strengths!