You could stay in line until your neice loads and then take the chicken exit. I believe they exit to the same area as the rides so you would be there about the same time.
My 9yo DD loves TOT and on Feb I also had my 6yo DD who did not want to ride. I walked her to the FastPass line and met her at the ride exit. She had been on the ride several times and was familiar with the queues. If your neice is comfortable and familiar with the rides this is also another option.
<font face="BrushArt" color=#6600CC size=4>Janette</font>
<font face="BrushArt" color=#6600CC>WDW ~*~ Offsite ? - 1976, Vistana - Jun 1988
Vistana/Contemporary - Jun 2000, OKW - Feb 2001
BWV - DIS Convention Nov 2001</font>
<font face="BrushArt" color=#6600CC>Disneyland ~*~ Apr 1998</font>