Does it count if they were really your parents' and your older sisters'? If so, Benny Goodman Carnegie Hall Concert, Ambassador Satch, a 10" Goodman Trio, and a 10 inch Ellington. No one in my family was a jazz fan but these were popular records at the time.
First jazz Lp I bought (after I'd bought Harry Belafonte, Elvis and Fats Domino) was Brubeck: Red Hot and Cool because I'd read about him in Time magazine and I loved the record's cover. There were very few jazz Lps in the only record store in my home town and I bought the next one i saw; Sonny Rollins and the MJQ at Music Inn.
So I joined the Columbia record club in 1959 and the first Lps I got were KOB, JJ Johnson (forget title), Lionel Hampton (Silver Vibes), Mingus Ah Um and Ellington Indigos. Good year to join.
For reasons I've never understood my oldest sister gave me The Hawk in Hi Fi for my birthday when I was 14. I still love it, but I have no idea why she got it for me. I'd never heard of Hawkins at the time and I'm sure she hadn't either.