I'm in the same situation. my ex hasnt seen my kids in 3 and a half yrs and he never trys to contact them. I only receive $7:50 child support a month and i dont feel keeping his last name is doing them any gd. my 6yr old daughter and 5yr old son call my partner daddy and we now hav a 7months old baby. and they are starting to ask why their last name isnt the same as ours. its heartbreaking. i was hoping to get a judge to relinquish his rights as i dont thinnk my ex's father will let him sign.
my ex's father has seen them twice in 3 n a half yrs and they never acknowlegde birthdays or christmas. its just not far on my kids especailly when my partner is a great father to them.