Hi bishn'blips, unfortunately I don't know anything about performers at Jazz Clubs in Glasgow in the 50s, but thought I would do a bit of a check as there does not seem to be much info available on the web. Here's some short extracts I found from recent newspapers which may help you step back in time....
From a (Herald) newspaper tribute to Matthew (Matt) McInnes, the former depute head at Claremont High in East Kilbride and a well-known traditional jazz trombonist, who died this year, aged 67:
Matt was probably best known, however, as a musician. He started playing trombone when at Govan High and was a member of the Glasgow Schools' Orchestra. He developed a love of traditional jazz and in 1959, while still at school, formed his own band, the Bourbon Jazz Band. He then went on to play with The West Coast Jazzmen, The Brown Derby Jazz Band, The Alex Dalgleish All Stars and Jeannie Maxwell and the Jazzwegians. He was a member of the Kit Carey band from 1985 to 2003 and finished his jazz career with The George Penman Jazz Band. He also played guitar in a big band and was part of a five-trombone group.
A similar tribute to Maggie Mann who died in 2006:
Maggie Mercer Mann made her debut as a jazz singer at the Tudor Ballroom, Giffnock, in 1958 and went on to become a well-known and much-loved performer at venues throughout Glasgow and beyond. She was just 16 when she took to the stage with the Evening Times columnist Larry Kilgannon's Band, and it was clear straight away that she had a flair for entertainment.... The Locarno Ballroom in Sauchiehall Street became a regular venue where jazz aficionados could hear Maggie sing with Tony Brooks Band. It was here that she met and fell in love with her husband, Jimmy Mann, a respected and in-demand trombone player.
From a Kenny Mathieson obituary in The Scotsman, born 18 September 1934 in Glasgow, died 25 January 1997, in Glasgow, aged 62:
He had been playing with dance bands such as The Rhythmaires in Glasgow even before his stint in the forces, and after his demobilisation he returned to the city, where he began to build a substantial reputation on the local jazz and dance-band scene. He was a member of both the Stateside Jazz Band and the Vernon Jazz Band, both of whom won the Scottish National Jazz Band Championships in 1956 and 1958 respectively.
He formed the first of many bands under the name the Alex Dalgleish All-Stars in 1960, patterned on Louis Armstrong's famous eponymous units. He broke up the band in 1961, and moved to London to link up with another well-known Scottish jazz musician when he became a member of Forrie Cairns's Clansmen.
His rich, sharp-edged tone and thorough command of the traditional jazz idiom was by now much in demand. He left the Clansmen to link up with the celebrated Glasgow outfit the Clyde Valley Stompers in 1963, then returned to London to play under the leadership of clarinettist Terry Lightfoot in 1964, touring in the United States with that band.
Anoter article about Kenny included:
"He freelanced in the studios and in stage bands in the early Fifties, then joined the BBC Show Band in 1952, remaining a member until 1957. At the same time, he played regularly in a more overt jazz setting with Kenny Baker's Dozen, and continued to freelance with a variety of bands."
And another about Kenny:
"I've always believed that Scotland has produced an unusually high number of jazz musicians per head of population. I wanted to use this opportunity to take a chronological look at the music, featuring people like George Chisholm, Alex Welsh, Sandy Brown, Carol Kidd, Fionna Duncan, Joe Temperley and Tommy Smith."
An article about Fiona Duncan:
Fionna Duncan turned down a "contract of a lifetime" with a top American recording company when she was 18. As Alison Kerr reports, it has been no obstacle to her singing career.... Back in Glasgow, she picked up from where she had left off. She began singing with the Joe Gordon Folk Four on radio's Saturday Club, before being recruited into the jazz-playing Clyde Valley Stompers. Obviously able to turn her voice to both folk and jazz, Duncan claims she had "no particular style" in those days. At the age of 20, she went to London; not exactly sure what she'd do when she got there, but probably not expecting to be working behind the cold meats counter of Woolworths on Oxford Street.
In an article about the performances of the Scottish Jazz All Stars:
...they're sure to rekindle memories of Scotland's trad jazz glory days when Alex Welsh, Sandy Brown and the Clyde Valley Stompers - bands and musicians they were all involved with - reigned supreme. With Dave Batchelor (trombone), Brian Kellock (piano) and John Rae (drums) adding their youthful input, the All Stars aim to play music of the jazz tradition with the panache of 2004.
Hope these help.