LOL. I don't think any one will think you are talking about their human families.
As to your questions about snakes, your "breeding stock" is what ever snakes you choose to use for breeding.
In-breeding is any time you breed two related snakes together. Like offspring to parent or brother to sister, or niece to uncle, or cousin to cousin, so on and so forth. If the original snakes, such as your pair, are both good quality, healthy, and unrelated to each other then the risk of getting any bad genes poping out in a first generation of inbreeding (het offspring to amel parent) is verry low and generally accepted as a standard practice in the hobby.
Problems usually only crop up when the in-breeding goes on for many generations.
A good example is the gloden corn population. A gentelman (user name blueking)who posts on the corn snake forum caught the origional female wild some years ago. To investigate/proove the genetics of the gold trait he bread her to a normal male and then took one of the resulting male offspring (who looked normal)from that first clutch and bread him back to his mother. That resulted in a clutch with a mix of normal looking hets and golds, thus prooving the genetics to be recessive.
Blueking has since been breeding the golds and hets he has to increace the number of golds and he includes unrelated normals in the progect to keep good variability in the population.
Hope this helps.
A
-----
1.0 BP Nicodemus
0.4 Cal Kings 3 alb 1 het Dora Queen Ace Pearl
2.0 Alb Corn Bizaar Elixir
0.0.1 Rev Alb Nelsons Oden?