Inspector Richard Quinn, from Cumbria Police said:
"The dog is currently in our care. Because a child is involved we need the full facts before we can determine what should be done with it.
"At this stage we haven't had an opportunity to interview the parents but we believe this may have been a terrible accident."
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Emma brings you Saturday's forecast
Longest cold spell of winter so far. Mainly dry and bright, but feeling bitterly cold today. Very wintry further east, blizzards possible
Mountain Rescue has seen a 5% increase in rescues and with the current conditions they're advising people to take extra care.