This Day in Dolphins History: April 19, 1997- Miami Selects Jason Taylor in Rd 3 of 1997 NFL Draft Posted by Mike Oliva | Apr 19, 2021 | Offseason | 0 This Day in Dolphins History: April 19, 1997 – Miami Selects Jason Taylor in Round 3 of the 1997 NFL Draft. Taylor was pick #73 overall.