You cannot put a heart on your Facebook name, but you can put it on any facebook wall or on facebook chat, you can do it in 3 ways:
thamanna :)
All you have to do is make one of the<> signs and put the 3 then theres your heart
A moon symbol will appear by your name if you do not click anything for ten minutes
If you go to the Consult StarClan for Your Warrior Name, you put in something that starts with N in the hometown box.
Go to Edit on the top of the page.Press Special Characters on it.Go on Miscellaneous and then there's a ♡ symbol ♥ symbol and much more.
I am not sure what you mean by a heart notification. If you are asking how to make the heart symbol on Facebook, you use this < and put the number 3 next to it (no space). <3 will print out as a heart. If you want a thumbs up sign, use open parenthesis, the letter y, and close parenthesis (y).
open wordinsert the female symbolcopy itget into facebooktype your screen nameright click in the barpaste
 Copy that, paste in status
Some Computers, when you do a <3 it usally shows up as a real heart but Facebook aparently doesn`t allow hearts or any other icon on your Facebook name.
find one on the web, then copy and paste
Currently no unless your logo is a text symbol.
you take a < and 3 and put them together to get a heart: <3