"Correct" is often in the eye of the beholder. It also depends how far or how brilliant you want your design to be. I'd never go for the design you describe, it'll become a maintenance nightmare to have the CRUD actions on the POCOs.
Your main issue is the absense of separations of concerns. I.e., The data-object is also responsible for storing and retrieving (actions that need to be defined only once in the whole system). As a result, you end up with duplicated, bloated and unmaintainable code that may quickly become real slow (try a LINQ query with a join on the gettor).
A common scenario with databases is to use small entity classes that only contain the properties, nothing more. A DAO layer takes care of retrieving and filling these POCOs with data from the database and defined the CRUD actions only ones (through some generics). I'd suggest NHibernate for the ORM mapping. The basic principle explained here works with other ORM mappers too and is explained here.
The reasons, esp. nr 1, should be a main candidate for refactoring this into something more maintainable. Duplicated code and logic, when encountered, should be reconsidered strongly. If the gettor above is really getting the database data (I hope I misunderstand that), get rid of it as quickly as you can.
Overly simplified example of separations of concerns:
class Data
{
public string Prop1 {get; set;}
public string Prop2 {get; set;}
}
class Dao<T>
{
SaveEntity<T>(T data)
{
// use reflection for saving your properies (this is what any ORM does for you)
}
IList<T> GetAll<T>()
{
// use reflection to retrieve all data of this type (again, ORM does this for you)
}
}
// usage:
Dao<Data> myDao = new Dao<Data>();
List<Data> allData = myDao.GetAll();
// modify, query etc using Dao, lazy evaluation and caching is done by the ORM for performance
// but more importantly, this design keeps your code clean, readable and maintainable.
EDIT:
One question you should ask your co-worker: what happens if you have many Data (rows in database), or when a property is a result of a joined query (foreign key table). Have a look at Fluent NHibernate if you want a smooth transition from one situation (unmaintainable) to another (maintainable) that's easy enough to understand by anybody.