Recordings
The only existing recording of Hendrix with Buddy & Stacy is the mono soundtrack of the "Night Train" WLAC-TV show footage, an r&b / soul program featuring live acts hosted by Noble Blackwell and filmed in Nashville.

WLAC-TV Channel 5 was an affiliate of CBS, a tv station owned by the Life & Casualty insurance company. The offices for the station were located in a building adjacent to the L & C Tower at 159 4th Avenue North. Because of the close proximity of the studios to the L & C Tower some / most sources have the studio located IN the L & C Towers but this is not correct. (Note: while the official address for L & C Tower is 401 Church Street, the building is actually located on the corner of 4th Avenue North & Church Street)

The station moved to a different address in 1968 and the call letters were changed to WTVF in 1975, nowadays the station is called News Channel 5.

The song Buddy & Stacy performed in the show was "Shotgun", a cover of the Junior Walker & the All Stars hit from February 1965. This has lead some sources to list the Night Train performance to be from February 1965 as well, but this is not the case. On the same show Jimmy Church performs "In The Midnight Hour", the Wilson Pickett version of the song was released in early June 1965 ¹, thus this dates "Shotgun" as having been recorded no earlier than June 1965.

It is possible that this tv show appearance took place around the same time as the session Jimi did with Frank Howard and the Commanders but neither sessions has a confirmed date.

Shotgun
Composer: Autry DeWalt
Recorded at: WLAC-TV studios, 159 4th Avenue North, Nashville
Engineer: likely Ray Caldwell
Producer: Noble Blackwell
Date: June-July? 1965
Vocals: Buddy & Stacy (aka Buddy Travis aka Travis Johnson III and Leroy “Stacy” Johnson Jr.)
Drums: unknown
Guitar 1: Jimi Hendrix
Bass: unknown
Guitar 2: Glen Willings
Sax1: unknown
Sax2: unknown
Trombone: unknown

 
SOURCES
1 the Wilson Pickett single "In The Midnight Hour / I`m Not Tired" (Atlantic 45-2289) is mentioned in the 19 June 1965 issue of Cash Box in the "NEW YORK" part of the "RECORD RAMBLINGS" -section:
"Bob Kornheiser is glowing over early showings by Carla Thomas’ “Stop! Look What You’re Doing” (Stax), Wilson Pickett’s “In The Midnight Hour” and the big Joe
Tex single cut from an LP at deejay requests, “One Monkey Don’t Stop No Show.”"

The 19 June 1965 issue of Record World reported under the "R&B BEAT" -section:
"The new Wilson Pickett just broke in N.Y."

There's also an image of a promo copy of the single on www.45cat.com that has been stamped "JUN2 1965"