sparrowhawks fighting

Is it common to see two sparrowhawks which I can only assume where fighting in midair

the 1st one flew out of a tree at the bottom of the garden where we have some feeders and chased its prey over the roof tops only to return I assumed it was this one

whilst watching this one I spotted what I thought was another one higher up which swopped down at the 1st sparrowhawk which looked like it had a meal in its claws

then for what seemed like ages but was proberbly only a few minutes  they where flying at each other in midair

must say I felt rather privlaged to be watching it

the sparrows and blackbirds where as quiet as mice

I said to the wife I could have drove miles to look for something like this and it was happening above our garden