Written and first recorded by Jesse Barish (1978).
Hit version by Jefferson Starship (US #8/CAN #9 1978).
From the wiki: “‘Count On Me’ was a 1978 song and single by Jefferson Starship for the album Earth, written and first recorded by songwriter Jesse Barish. The Jefferson Starship single gave Starship their second US Top-10 hit of the ‘Seventies, after their 1975 hit, ‘Miracles’.
“Barish played flute with the seminal experimental band The Orkustra in San Francisco in the mid 60’s and also played flute with John Phillips on John’s Wolf King of L.A. tour. In 1971 Jesse was signed to Shelter Records by Denny Cordell and released the album Jesse, Wolff and Whings with guitarist Billy Wolff and drummer Kevin Kelly. Landing in Marin County in the early ’70s, Jesse became friends with Marty Balin who would go on to record ‘Count On Me’ with Jefferson Starship (among other songs) and, in 1980, ‘Hearts’ on Balin’s first solo album for EMI Records.”
Jefferson Starship, “Count on Me” (1978):