What I was going to add was that I think the existing personation offence would cover the full range of that person's behaviour: they took the identity of a person who was deceased, so that falls within the ambit of personation, and they pretended to be that person by using their name over the course of a period of years, for the advantage of being able to access government services they otherwise might not have been able to access—if they were in the country illegally, and whatnot.
There is some jurisprudence under the personation offence that says even if a person pays taxes in the false name, or takes out telephone services in the false name and pays the bills, the portion of personation that says “to gain an advantage” is broader than “to gain property”. They're not actually gaining any property through the deception, but they're gaining the advantage of being able to operate under a false name.
I think the initial taking of the information, if a false pretense were used to obtain that initial birth certificate, would fall under Bill C-299 with the proposed amendments, and every subsequent act would be personation.