Taylor Conway Taylor Conway played for the Padres in the T-Ball Division of the 2004 Slow-Pitch Softball Season (5/1/2004 - 6/30/2004) for girls aged 5 - 7 on 9/1/2004 (born 9/2/1996 - 9/1/1999). Taylor Conway has also played for: Cubs, Ponytail Division Slow-Pitch Softball, 2006 Season. Taylor's Cubs Page