The New Zealander followed up the unbeaten 106 he made in the win over Richmondshire in the previous round by scoring 109 as the Bradford League champions piled up a huge 323-8 from their 40 overs after making the most of their decision to bat first.
Schmulian, who hit two sixes and 17 fours in his 81-ball knock, was joined in a second wicket stand of 144 by Tim Jackson, who hit 10 fours and a six in his contribution of 58. Tom Clee, with 51 off 30 balls, and Liam Collins, 49 off 33, increased the tempo further.
Appleby Frodingham, who lost by three wickets to Woodlands in last year’s Yorkshire Premier League Play-Off semi-finals, were bowled out for 212.
Opener Alex Grimes top scored with 60, but Woodlands bowlers stuck to their task well with Collins (3-27) the most successful and Schmulian following up his batting with 2-26.
Woodlands are now away to Liverpool & District Cricket Association side Wallasey in the next round on Sunday, July 10.