Re: Colt 1902 Sporting .38 ACP
The CIA was established in 1947, so I doubt this model was ever issued by them. The CIA's predecessor organization, the OSS, was founded in 1942, so the gun was sort of an antique even then. Of course, a CIA employee could have personally owned that or any other gun.
Serial numbers were not legally required in the U.S. on civilian guns manufactured before a certain date. Somebody here can pinpoint the date. If your gun never had a serial number, then you're OK - but check under the slide and under the grips to be sure.