The Tigers (2-0) scored in the 16th minute before tallying the game-winner on a Bryan Hughes/Ryan Fleming double assist to James Lawrence in the 33rd.
Shenandoah (0-3) made matters interesting with an L.A. St. Hill goal 5:04 into the second half, but the Hornets could get no closer.
H-SC achieved some breathing room with an own goal three minutes after the St. Hill tally and notched insurance goal in the 74th and 81st minutes.
The Tigers doubled up the Hornets in shots, 22-11, while the two teams split four corner kicks.
Shenandoah hosts Catholic on Wednesday at 4:00 in the first game of a men's/women's doubleheader on Sprint Field at Shentel Stadium.