In Black/White, is there a way to manipulate what swarm appears?
How much control over stats and natures do I have for male only species?
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Ditto, with the Ditto acting as the "female" parent for the purpose of passing down moves and stats. In some cases, though, breeding a male-only species with Ditto has an even chance of producing either the male-only species or its direct female counterpart (for example, breeding a Nidoking with a Ditto has a 50% chance of producing Nidoran♀ rather than Nidoran♂). However, as I said, natures, moves and statistics are passed down as normal.
breeding" page of Bulbapedia:
"From Generation V, female Pokémon with Hidden Abilities have a 60% chance of passing on the Hidden Ability to their offspring when bred with a male Pokémon from the same egg group. For example, if a female Darmanitan with Zen Mode bred with a male Simisage, the offspring Darumaka may have Inner Focus instead of the usual Hustle, and would evolve into a Darmanitan with Zen Mode (instead of Sheer Force).
Hidden Abilities cannot be passed down from male or genderless Pokémon, and will not be passed down if the female was paired with a Ditto."
So in your situation, the Espeon cannot possibly pass down any Hidden Ability.