From IMDB.COM...

The film is director Cameron Crowe's semi-autobiographical account of life as a young Rolling Stone reporter. The actual group that Crowe first toured with was The Allman Brothers. (Gregg Allman was the one who distrusted him and kept asking if he was a narc.) Crowe's real-life near-fatal plane crash happened while traveling with The Who. The character of Russell Hammond charcater is based on Glenn Frey of The Eagles.
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Later, we see a black-and-white photo of the fictional band Stillwater that echoes the Allman Brothers' famous Live at the Fillmore East album cover.

While there was a band named Stillwater in the 70's, the band in the movie was not supposed to be them.