In case it helps, it appears to be movements from a baroque trio sonata, for two violins and cello, with realised keyboard part in a somewhat later style. (Originally a harpsichord player would have improvised an accompaniment from the instrumental parts, especially the bass line).

 

Found it by searching for the unusual combination "Largo Andante" on the same movement. Locatelli Trio Sonata in G major Op 5 No 1.

 

Thanks, but I don't think it's the Locatelli Opus 5 1. I played that years ago. First movement (Piano). With flute and cello.
A hint that it's Italian with word Menuetto.
I played parts of it the other night.
The piano, alone, is so pretty.
I've googled. No luck.
Any other ideas?
The top instrument notes sound so familiar - like could easily be recognized.

 

Jonathan is right, though. Both movements are from Locatelli's Op. 5/1.
Your edition is an oldfashioned, pre-HIP arrangement with added dynamics, articulation and an elaboration of the continuo part in romantic style.
See here for several editions that are closer to the original:

6 Trio Sonatas, Op.5 (Locatelli, Pietro Antonio) - IMSLP

imslp.org

Remarkable is the notation of the continuo part, in 4/4 while the solo voices have 12/8. This leads to complex, "modern" sounding rhythms which were probably not what Locatelli had in mind.
An other (older and heavily edited) edition at IMSLP has the continuo "translated" to 12/8, which is probably how it's supposed to be performed:

 

Thanks so much.
Locatelli it is !
I searched my house high and low to find the "missing" cover with the first movement.
I'm years out of practice and knowledge.
I recently started playing again.
It feels so good !!
Years ago in high school my piano teacher's daughter and a cellist friend and I played this.
(My teacher studied with Nadia Boulanger and Soulima Stravinsky).
If anyone remembers the Texas music scene from years ago, we were fortunate to play this trio in the (late) Dr. John Hill's music room.
I played his Bosendorfer Imperial Concert Grand several times.
(Our little trio won a chamber music competition).
Those were the good old days.

 

More, and probably why I got so confused.

 

My music says Opus 3/1.
Key sig is different.