Road to Avonlea does not give an exact date when the date is. So, I have made a try at seeing when it was made, and I think I'm pretty close. First, the few episodes that say the date or someone's age by mouth or on paper. Thats a timeline now. To find important dates, like when Sara arrived at Avonlea or birthdates, should be something like this:

Birthdates:

So.. the series takes place in 1903-1914. There are many times in Avonlea where they say something can help you find out. In Misfits and Miracles, where Janet has Daniel, Dr. Blair says its been 9 years since her last baby saying Cecily is 9 years older than Daniel. Or in How Kissing was discovered, Felicity says that she's 13 and 3/4!!! So look at her birthdate and add 13.75.