An accomplished and influential American fingerstyle guitarist who combines styles as varied as ragtime, blues, country, gospel, Cajun, bluegrass, Celtic music, ballads and jazz, especially swing, New Orleans jazz and even free jazz.

Baker grew up in Richmond, Virginia. As a teenager he played in rock and blues bands before becoming interested in acoustic blues. In the early 1970s, he moved to San Francisco and was performing a wide range of material which can be heard on his first record on the Kicking Mule label, There's Something for Everyone In America. In addition to developing his solo style, he immersed himself in the local swing jazz scene.

In the late 1970s, Baker released four more records for Kicking Mule, including two devoted to jazz and a solo guitar record of Irish and Scottish music. He also began touring as a solo artist throughout North America, Western Europe and Australia. He eventually moved to Europe before returning to San Francisco in 1987.

His associations in the 1990s included the Irish fiddler, Kieran Fahy, and the traditional singer, Molly Andrews. As at 2002 he was involved in several duos: with trombonist Roswell Rudd, bassist Mark Dresser and guitarists Jamie Findlay, Woody Mann and Ken Emerson. His solo recordings since 1980 have largely focussed on his own compositions, which reflect the influence of the great jazz pianists/composers.