The house law does indeed provide that a born princess of Liechtenstein retains her membership of the Princely House after marriage, and therefore keeps the predicate HSH, the title Princess, and the surname von und zu Liechtenstein.
However, there are no rules in the house law as to whether a born princess should adopt her husband's surname and/or titles, or which of her titles or surnames she should be addressed by.
Read the house law in German and English here:
www.gesetze.li
Liechtenstein is a German monarchy, and it is the German tradition that a married woman adopts her husband's titles and surnames, which take priority over her birth titles and surnames. Accordingly,
if Marie Caroline chooses to follow the custom of the princely house of Liechtenstein, her full titles and names will become Her Serene Highness Marie Caroline Maduro Vollmer, Princess of and to Liechtenstein, Countess to Rietberg, and she will be styled as HSH Marie Caroline Maduro Vollmer.