There is a wonderful Harry Nilsson Web site, but it unfortunately has no lyrics to it. Tons of information, including that this song was on about 10 albums, including Nilsson Schmilsson, is available.

My memory says this is the entire song.

You put a lime in the coconut, you drink the bowl up, You put a lime in the coconut and drink 'em both together, You put a lime in the coconut, you drink the bowl up, You put a lime in the coconut and call me in the morning. Oooh, oooh. Oooh, oooh.

Roger in Baltimore