As it appears to be in a museum I guess it's American, so not likely to be an Avro Arrow, the only one I can match at the moment. Need to think about this one...again !
I reckon its a jet. Been thinking about a Gnat but the fuselage looks too 'round'. I've seen that cockpit before and I think i've seen it at Newark outside a hangar. Its in blue and white colour scheme. Now I know you haven't been to Newark but I'll have a go any way and say T33 Shooting Star.