The eggs from chickens that live freely are commonly referred to as "free-range eggs." These eggs come from chickens that are allowed to roam outdoors and engage in natural behaviors like scratching for food and dust bathing. They are considered by some to be more ethical and potentially healthier than eggs from chickens kept in confinement.
I must say that I'm lucky to live in a country where you can find these eggs with not greater effort and for very decent price. and I buy them from farmers in the past 10 years or maybe more.
I imagine myself one day to live in a village where I can grow my own food and have chickens in my yard :)

Free-range eggs offer several potential benefits: 

Animal Welfare:

Free-range chickens generally have better living conditions than those kept in confinement. They have access to outdoor areas where they can engage in natural behaviors like scratching, pecking, and dust bathing. 

Healthier Eggs:

Some studies suggest that free-range eggs may have higher levels of certain nutrients, such as omega-3 fatty acids and vitamin D, compared to eggs from chickens kept in confinement. 

Better Environment:

Free-range farming practices often involve more sustainable and environmentally friendly methods compared to intensive farming. This can include reduced use of antibiotics and pesticides, as well as better management of waste. 

Quality of Life: 

Supporting free-range egg production can contribute to the sustainability of small-scale farming operations and rural communities. It also aligns with ethical principles of promoting animal welfare and sustainable agriculture. However, it's essential to note that the benefits of free-range eggs can vary depending on the specific farming practices and the standards implemented by producers. Additionally, factors like diet, living conditions, and genetics can influence the nutritional composition of eggs, so individual experiences may vary.