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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Kerrie brings you Saturday's forecast for Cumbria & The Scottish Borders
Another cold and icy night but cloudier, wetter, windier and milder from the west by dawn
Icy patches will be a hazard on some untreated roads, pavements & paths. Some injuries are possible from slips and falls on icy surfaces