Okay, the softness of the flash shadows suggests a 6" bowl reflector such as usually used M3 bulbs or the older, larger #5. AG-1 typically had a 2-3" diameter reflector. Reflector is at or slightly above lens height, very common for almost everything that would shoot 6x6 with vertical film transport in those days. Focus runs mostly behind the subjects and gets lost pretty quickly in front, suggesting hyperfocal; there is also pincushion and coma in the corners, implying a relatively simple lens, likely a meniscus, and a fairly wide angle, also a common feature of fixed-everything cameras. I don't see anything here that would suggest a more sophisticated camera than a Duaflex or Brownie Hawkeye with flash unit mounted. Between the various camera models Kodak offered between, say, 1950 and 1965, there were literally millions of cameras in the hands of American families by the late 1960s that would produce images virtually indistinguishable from these, most very affordable (many had plastic bodies, and by 1960, plastic lenses as well).
Those negatives were almost certainly Kodacolor X, the standard consumer color film (at least in America) from the introduction of the C-22 process until C-41 took over.