Enough to drive you bats

Last night it was warm, so we spent the late evening in the garden. I caught a glimpse of a bat in the light and seeing that it had been several years since I had seen one outside here I made a special point  of taking a good look this evening. Best view was it chasing a moth around the street light at the back of the house. I have no idea of the species, but it was about 8 inches across. Only to find that I had another one put in a brief appearance which was larger with a wing span I should imagine of about 1 foot. Could it have been a Common Noctual bat? Not bad considering.