Things got even better for Palace on 68 minutes, when the referee pointed to the penalty spot after Lexi Potter was brought down.
Blanchard stepped up and smashed her penalty into the bottom left corner, doubling hers and Palace's tally.
The result earns Palace their first ever win in the WSL and indeed English Women's football's top-flight.
Next up is Brighton & Hove Albion at the VBS Community Stadium on Sunday, 13th October (14:00 BST). Tickets are available for that fixture here.
Leicester: Leitzig (GK), Tierney, Bott, Howard, Takarada, (Chossenotte, 46) , Rantala, Mouchon, Cayman, Thibaud, Goodwin (Momiki, 56), Mace.
Subs not used: Kop (GK), Nevin, Rose, Pelgander, Kees, Swaby, Las.
Palace: Yañez (GK), Everett, Veje, Woodham, Green, Cato, Gejl (Riley, 74), Potter, Blanchard, Weerden (Larkin, 57), Stengel.
Subs not used: Majasaari, Gibbons, Arthur, Sharpe, Riley, Aspin, Atkinson.