England and Drew Spence came close to extending our advantage just before the hour mark but the Blues duo were both denied by the Rangers goalkeeper.
England wasn’t to be denied with just over 20 minutes remaining when she slotted home a low cross from Cuthbert to put the Blues 3-1 ahead.
Substitute Thompson made an immediate impact as she turned on the edge of the box and fired a low effort into the bottom corner to score a fourth for the Blues.
Chelsea will now prepare for our final pre-season fixture against Aston Villa at Kingsmeadow on Friday 27 August. Tickets are now on sale and can be purchased here.
Chelsea (3-4-3) Berger; Carter, Leupolz (Thompson 74), Wardlaw (Darey 81); Fox (Guyatt 74), Spence, Ji (Beever-Jones 74), Harder; Cuthbert, England, Reiten
Scorers Harder 18, 28 England 71 Thompson 81