Hi,welcome to HCM. If you feel that there is considerable growth,then it's better to consult an ophthalmologist specialized in Orbit and Oculoplasty . He/she will assess the extent and nature of the swelling by direct examination and imaging techniques,then decide on excision or other procedure.
As the swelling is close to the lids and your daughter being young,speciality surgeon should be approached to prevent post op appearance of the eye.
If it is a Chalazion
(confirmed by your ophthalmologist , he can do a simple incision and clean all the pus out as a minor procedure under sterile conditions.
So get it confirmed and then go for excision. Take care and keep us updated.