The differences between Lady Eleanors are pretty minor. I think there are two basic versions: one has the lyrics 'music playing in my bone' and the other, 'music playing in my bones'. They sound like very slightly different mixes. The version on the original single which was released when Nicely Out Of Tune 1st came out and flopped (in pic sleeve - run off groove A1U) is the same as the UK album version (bones). When Meet Me On The Corner was a hit Lady Eleanor was rereleased as A2U (no pic sleeve). This was the US Nicely Out Of Tune LP version (bone). There was a 3rd UK version (A3U). This is just a short version of A1U. A1U & A3U make no mention of Nicely Out Of Tune on the label. Some copies of A2U say '(From the L.P. CAS. 1025 - "Nicely Out Of Tune")' but some are the same as A1U & A3U. There is also a 4 pronged version.
In summary:
Nicely Out Of Tune UK LP - 'bones' UK single A1U - 'bones' UK rerelease single A2U - 'bone' UK 3rd release single A3U - 'bones' and edited intro
Nicely Out Of Tune US LP - 'bone' US single - 'bone'