Question: The Violin Sonata in A major was the only alternative version of which composer born on December 10, 1822?

Context paragraphs:
César Franck: César-Auguste-Jean-Guillaume-Hubert Franck (10 December 1822 – 8 November 1890) was a composer, pianist, organist, and music teacher who worked in Paris during his adult life.

Violin Sonata (Janáček): Violin Sonata, a composition for violin and piano, is a work of the Czech composer Leoš Janáček (1854-1928).  It was written in the summer of 1914, but it was not Janáček’s first attempt to create such a composition.  He resolved to compose a violin sonata already as a student at the conservatoire in Leipzig in 1880, and later during his studies in Vienna.  His early sonatas are today lost.

Violin Sonata No. 1 (Prokofiev): Sergei Prokofiev's Violin Sonata No. 1 in F minor, Op 80, written between 1938 and 1946 (completed two years after Violin Sonata No. 2), is one of the darkest and most brooding of the composer's works.

Cello Sonata (Franck/Delsart): The setting for cello of César Franck's Violin Sonata in A major was the only alternative version sanctioned by Franck.  It was created by the cellist Jules Delsart.

Violin Sonata (Dvořák): The Sonata for Violin and Piano, op.57, in F Major (Czech: "Sonata F dur pro housle a klavír" ), is a violin sonata by Antonín Dvořák.  The work was composed between 3rd and 17th March 1880.  At the time, Dvořák was also working on his violin concerto, and it seems that the composer explored different aspects of the violin in the two pieces.  The sonata is naturally the more intimate of the two works, and appears in places to be influenced by Johannes Brahms.

Violin Sonata No. 2 (Prokofiev): Sergei Prokofiev's Violin Sonata No. 2 in D Major, Op. 94a (sometimes written as Op. 94bis), was based on the composer's own Flute Sonata in D, Op. 94, written in 1942 but arranged for violin in 1943 when Prokofiev was living in Perm in the Ural Mountains, a remote shelter for Soviet artists during the Second World War.  Prokofiev transformed the work into a violin sonata at the prompting of his close friend violinist David Oistrakh.  It was premiered on 17 June 1944 by David Oistrakh and Lev Oborin.

Violin Sonata No. 2 (Beethoven): The Violin Sonata No. 2 of Ludwig van Beethoven in A major, the second of his Opus 12 set (along with his Violin Sonata No. 1 and Violin Sonata No. 3), was written in 1797-8 and dedicated to Antonio Salieri.  It has three movements:

Violin Sonata No. 1 (Beethoven): Ludwig van Beethoven's Violin Sonata No. 1 in D major is a violin sonata from his Opus 12 set, along with his Violin Sonata No. 2 and Violin Sonata No. 3.  It was written in 1798 and dedicated to Antonio Salieri.  Being an early work written around the period when Beethoven studied with Haydn, the sonata is for the most part written in a classical style much like that of Mozart or Haydn.

Violin Sonata No. 5 (Beethoven): The Violin Sonata No. 5 in F major, Opus 24, is a violin sonata by Ludwig van Beethoven.  It is often known as the "Spring Sonata" ("Frühlingssonate"), and was published in 1801.  Its dedicatee was Count Moritz von Fries, a patron to whom Beethoven also dedicated two other works of the same year—the C major string quintet and the fourth violin sonata—as well as his later seventh symphony.

Sonatina: A sonatina is literally a small sonata.  As a musical term, sonatina has no single strict definition; it is rather a title applied by the composer to a piece that is in basic sonata form, but is shorter and lighter in character, or technically more elementary, than a typical sonata.  The term has been in use at least since the late baroque; there is a one-page, one-movement harpsichord piece by Handel called "Sonatina".  It is most often applied to solo keyboard works, but a number of composers have written sonatinas for violin and piano (see list under Violin sonata), e.g. Sonatina in G major for Violin and Piano by Antonín Dvořák, and occasionally for other instruments, e.g. the Clarinet Sonatina by Malcolm Arnold.

Supporting paragraphs: Cello Sonata (Franck/Delsart) César Franck
Answer: César Franck