Wiggins averaged 14.5 points, 5.8 rebounds and 2.5 assists per game last season and saw his NBA stock rise.
Dziuba is the fourth player to transfer into Mark Turgeon's program this offseason.
Morsell departs from the Terps after an historic season where he became the first Maryland player to win conference Defensive Player of the Year.
Quinerly scored 14 points and notched 11 assists Monday night.
The Crimson Tide hit 16 threes to dash the Terps' Sweet 16 hopes.
“Our talent level’s not where it’s been. But our toughness is at an all-time high.”
The Terps faced 10 tournament-bound teams in the regular season.
Maryland will face No. 7-seed UConn in its first-round game Saturday.
Mike Smith scored 18 points and added 15 assists for the Wolverines.
The Terps trailed the Spartans by 12 after 10 minutes.