I follow the alphabet with my goats, but the lambs get a name starting with the same letter as their dam - both girls and (only ever one)boy.
So Titch (she came with that name at the grand old age of 11) had a Tinkerbell (Tinks for short) before she had to be culled , Tinks then had first Tilly, then Titus (who was sold for meat as his horns were skew-with) . Tilly's first lamb was Tiree... and on it goes. I guess I will eventually run out of T's...
My goat kids all have "proper" quite old-fashioned names... Arabella, Amanda, Beatrix, Cornelia, Cassandra, Dixie, daphne, Debbie, Daisymay and Daisybelle, and this year we are on E - so have Eliza, Edith, Evelyn, Esme and Estelle so far. My girls absolutely love naming the animals - but I have a veto!