expand my vocal range

So I would realy like to sing a song by the Beatles called “Gt To Get You Into My LIfe” but, the range extends up to the stratisphere (high Bb). I can hit the note sitting down not thinking about it but, come to the chorus… a mess. im trying out some new things to help me out with it such as; John Henny Speech Level Singing CD’s and private vocal lesson by a student of his who mastered the program.