I have made changes to the statements to better represent the situation. Tomato is unusual in that its normal method of pollination is often self-pollination. The changes are in bold. Open-pollinated means the plant is pollinated naturally by whatever means is normal (insects, wind, birds, etc).

If I want to create a better heirloom Brandywine tomato for my region (and my taste), I ensure the plant pollinates itself and save the seeds from plants that have fruit that have characteristics I favor. The resulting plant is said to be "self-pollinated" or an inbred line

If I want a different type of Brandywine, say a fruit that is more like a roma, I would pollinate the Brandywine with the pollen from my favorite heirloom roma tomato, like MartinoÂs Roma. I would save seeds from plants that have fruit that have characteristics I favor  namely a roma-like Brandywine. Planting these seeds would result in a "F1 hybrid" plant; meaning it is the first generation (a filial) that resulted from crossing two pure parents. If I plant the seeds from these F1 Brandy-Roma fruits, the resulting plants will likely resemble neither the Brandywine nor the MartinoÂs Roma but be a variable mix of both. A very few may look similar to the parents.These plants are "F2 hybrids".

If I want to stabilize the Brandy-Roma and try to grow the plant without having to cross the parents each time, I would plant the seeds from the F2 Brandy-Roma and ensure that the resulting plants pollinate themselves. I would save the seeds from plants that have fruit that have characteristics I favor  namely a roma-like Brandywine. I would repeat this planting, self-pollinating, and seed-saving process until all the plants in a single generation consistently produce favorable roma-like Brandywine fruits. At this point it can be said I have created a new inbred line.

Because tomato self-pollinates frequently your inbred line would be able to exist as an open-pollinated variety after its characteristics had been 'fixed' or made homozygous.