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
To get a heart symbol on your name on Warrior Cats' website, you can use the code "♥" without the quotation marks. This code will display a heart symbol in your name.
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