I believe as time went on, beginning with the Adam storyline and growing there after, Barnbas became quite fond of Julia.  He realized what a good friend she was and all she had done to help him, even when he did not deserve that help.  I think it was a fondness that sort of slipped up on him.  At first she was just a doctor, which he claimed early on is all she could ever be to him.  Then she became a need alley.  Then as she did more for him, never exposing his secret, she became a trusted friend.  As she did more for him and took chances for him, like going back to 1897 to help him and coming to P T. to save his life, he began to realize and appreciate  that she was more than just a friend...she was his best friend.  I don't think he loved her in the romantic sense of the word, but he loved her as a very treasured person and special friend.  Their relationship was unusual and rare.  Despite the deeper feelings that Julia had for him which I don't think he shared for her,  they managed to not let that come between them and instead developed a bond stronger than even some people have in a romantic relationship.  They depended on one another on so many levels.  It was unlike any other relationship in any other soap I remember seeing.
raholt