The court CAN AND DO find out addresses of resident parents (I should know...). I'm not 'against you', I've been where you are, worn the t-shirt. I'm just telling you how the system works. I hate it, but my DS1 has been having contact with his father since my Ex-H went to court when DS1(DS1 stands for Dear Son 1) was 18 months old.
The contact my Ex-H was given were exactly what I set out above. Even though my ex-h was smoking dope around my baby. (Which he has stopped now). 3 months in a contact centre, 3 months unsupervised short visits, 6 months unsupervised all day visits, then overnight weekend contact every other weekend.
My DS1 is now over 9yo. When he was 3 1/2, and at pre-school, the courts gave my Ex-H the following contact : One mid-week overnight (so he could do pre-school pick-up and drop-off), every other weekend from Saturday morning to Sunday night, and 1/3 of school holidays.
When my DS1 was 5yo, the courts changed the contact again, to the system we have now : Wednesday Ex-H picks up from school, has DS1 overnight, and drops him off at school in the morning. Every other Friday, Ex-H picks up DS1 from school and has him until school drop-off on Monday morning. Half of ALL school holidays. Split day on Birthday (pick up at 1pm). Every other Christmas with my Ex-H (goes at 6pm on Christmas eve, comes back at 10am Boxing day, then I have him the following Christmas).
THAT is what the courts will be building up to - that is what is normal. If the courts send letters to your last known address, and you are not on the electoral register (which is a legal requirement btw) then they CAN place a custody order in your absence if you have missed a number of court dates.
What I am outlining for you is the normal level of contact awarded to an absent father that is not violent towards his child. Sorry if you do not like it, I'm not trying to 'get at you', just point out that he is legally entitle dto have this time with your daughter.