A Buescher True Tone would be a good bet; or look around for a used, good quality soprano sax on eBay or around Sydney, Australia.
Sidney Bechet had purchased a used soprano sax - a curved model - in a Chicago pawn shop while he was playing clarinet with several bands. He was not successful with that instrument and returned it.
He was a noted clarinetist when he arrived in London in 1919 and purchased a new straight soprano sax J A La Fleur's shop there. He played clarinet and the straight soprano for much of his career. He was know to have played a Buescher True-Tone, but whether that is what he purchased in Londen isn't known. Bechet almost certainly had several different instruments throughout his career.
To the best of my knowledge there is no such instrument. there are Soprano (usually a straight- tapered pipe) Alto, Tenor, and Baritone forms of the Saxophone designed by Adolph Sax who was NOT German but Belgian, residing in France. a stylized stone form of one of these instruments adorns his tomb in a Paris cemetery, possibly Pere Lachaise, which literally means- Father, The Chair! ( Top seated?) The Mezzo-Soprano Saxophone is a rare saxophone pitched in the key of F (one whole tone higher than the standard Alto). It was originally designed by Adolph Sax as the Symphony Alto in F; the Mezzo-Soprano was only produced by C.G. Conn between 1928-1930. It does resembles an Alto in appearance and shape. Only a few examples exist today, and those extant instruments usually command a high price tag.
The soprano is much like a clarinet in which you can or cannot have one. However they are a reasonable amount heavier than the clarinet so it would be suggested.