Whether or not you and your daughter have a viable claim depends on whether the owners or operators of the market did anything they should not have done, or failed to do anything they should have done that rises to the level of negligence. Property owners are not outright insurers but in fact are liable only for failure to reasonably maintain a safe premises.
Here is more on 'slip and fall' negligence liability and may help assess your case:
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Your Daughter may have a case. Call a local lawyer
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Because you were on the premises for the store owners benefit your daughter would be considered an invitee. As an invitee the store has an obligation to make inspect, warn and make safe. The store has to be on notice of a unreasonably dangerous condition or the condition needs to be there for such a period of time that the store would have known about it. Typically a store will use something called "sweep logs" to defend slip and falls. The sweep logs are kept by the store to show when areas were cleaned/inspected. If the area was just cleaned and then she fell, the store will likely argue that they did not have notice of the condition. In any event, yes, there is a cause of action.
Typically stores have something called medical payments coverage. This coverage is used to pay medical bills, up to a limit, regardless of fault. In other words, if the store has medical payments coverage, the store should pay the medical bills no matter what their investigation yields.
Slip and fall cases are difficult and typically insurance carriers try to defend such cases.
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