Definately PARACHOC is the go but watch you dont give her too much other wise they can have alittle oily discharge...if this happens just cut back on the dose...my little girl was like this for nearly 6 months at around 16 months onwards it was just heart breaking to watch. we even had a few visits to the hospital for enemas. she too had a good diet and only still drinks water.
but now at nearly four we have not had a drama our doct said its quite common for kids under 5 to get constipated...my nephew did after eating coconut!
good luck!