Despite the limited challenge of a mediocre opposition, the Windies batsmen spent valuable time in the middle.
It was a career best from the Leeward Islander, whose previous highest first-class score had been 114, as the Windies finished the day on an impressive 340 for four from 81 overs - 80 runs clear of their opponents with six wickets in hand.
Morton, 28, displayed an array of strokes on both sides of the wicket and was particularly effective on the drive.
While Daren Ganga played a sheet anchor role to the perfection and was patience personified while compiling a 47 off 100 balls, Morton blazed a trail at the other end.
Ganga eventually edged Williams to wicket-keeper Paul Dixey to end a partnership of 161 for the second wicket.
Undeterred, Morton continued his demolition of the MCC bowlers with his 50 coming off 60 balls and his hundred 49 balls later - a century that included 18 fours and one six over long on - before finally losing his wicket for 201 in the final half hour of the day's play.
Slyvester Joseph made a patient 41 before conceding his wicket to Morris. For MCC XI Butler emerged as successful bowler taking two wickets while Brathwaite, Williams and Morris claimed a wicket apiece. Right-arm medium pacer Mali Richards, son of Viv Richards, went wicketless.
Moore pleased with the Windies' efforts:
"We set our goals and aims for this game and we're achieving them," said Moore.
"We claimed the last three MCC wickets inside 10 overs and then posted a big score for the loss of only four wickets.
"We treated the game as if it was a Test match and it was important the batsmen spent time out in the middle.
"Runako Morton obviously batted very well, but everyone, apart from Devon Smith, made runs, which was pleasing."
"Runako is a real professional and a hard worker, and what he lacks in skill he makes up for with heart.
Brief Scores D-2:
MCC XI 260 all out ( S H Choudary 54 n o, L J Evans 51, Morris 30, Mali Richards 26; Taylor 5 for 43, Edwards 3 for 66, Sammy 2 for 66) Vs West Indies 353 for 5 ( R Morton 201, Ganga 47, Sylvester Joseph 41; Butler 2 for 93, Morris 1 for 49).
ThatsCricket (with inputs from Agencies)