Here is some history on the CF Martin Guitar Co.

CF Martin Born in 1796 in Markneukirchen, Germany, C.F. Martin came from a long line of cabinet makers and woodworkers. By the age of 15 he was an apprentice to Johan Stauffer, a well-known guitar maker in Vienna, Austria. After completing his training, Martin returned to his hometown and opened his own guitar-making shop. Shortly after opening he became embroiled in a controversy between two guilds.

At the time European craftsmen operated under the guild system. The guitar (in its modern form) was a relatively recent instrument, and most guitar makers were members of the Cabinet Makers Guild. The Violin Makers Guild began to claim exclusive rights to manufacture musical instruments. Although the cabinet makers successfully defended their rights to build guitars, Martin decided that the guild system was too restrictive, and in 1833 he moved to New York City. Apparently uncomfortable with the pace and style of big-city life, by 1838 he had moved his operation to Nazareth.

In the 1850's Martin developed one of its major technological innovations for the guitar, the "X bracing" system. AThe growing popularity of the guitar in the early 1900s, fueled by the growing popularity of folk music and country and western music, led to a demand for louder and more percussive guitars. This led to many companies beginning to string their guitars with metal instead of catgut. These became known as steel-string guitars, and Martin began concentrating on this type of guitar by 1921.

The company's reputation and production continued to grow. Forays into mandolin making in the late 1890s and ukulele making in the 1920s greatly contributed to their expansion, and by 1928 they were making over 5000 instruments per year. However, the Great Depression quickly had a drastic effect on sales, and Martin came up with two further innovations in an attempt to regain business.

Martin ukuleles were in highest production from 1916 to the 1930's (hitting their peak in 1926, with over 14,000 made), at which time Hawaiian music and Tin Pan Alley were extremely popular, and in the late 40s and 50s, as servicemen came back from Hawaii (almost 12,000 were made in 1950). They were manufactured in quantity through the mid 60s, but demand fell off sharply in the late 60s, Tiny Tim notwithstanding. By the mid 70s, Martin had stopped making ukuleles except by special order. Even today, you can special order a Martin ukulele, but a simple Style 0 will cost well over $1000, much higher then the price of a vintage instrument. Today, Martin makes the "Backpacker Uke"; a funny looking and certainly not up to old Martin standards, ukulele made in Mexico that sells for about $200 retail. They also make a modern version of the Style 0, also made at their factory in Mexico
Martin ukuleles are considered by many to be the finest ever made for craftsmenship and sound and a close look at a Martin ukulele will show their attention to detail. Demand for older Martin ukes has increased dramatically in recent years, with some older fancy models selling in the thousands of dollars. The Hawaiian koawood models are more collectible than mahogony models, as there were much fewer of them made.
Martin made ukes in five different models: Style 0, Style 1, Style 2, Style 3 and Style 5.

Yours appears to be the style O model. 

Here are the prices for them.

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