function RowReservation(initialRow) {
    var self = this;

    self.row = ko.observable(initialRow);
    self.rowID = ko.observable(self.row().rowID);
    self.price = ko.observable(self.row().price);
}

<input data-bind="value: price" />

<input data-bind="value: $data.row().price"/>

// RowReservationObject

{'row':
    {'rowName': 'Standard',
     'rowID': 1,
    'price': 19.99 },   // --> this is what I'm binding against now
'rowID': 1
'price': 19.99}  // -- this is what you were binding against before