No. At least, no such thing is mentioned in any of the books.
Bellatrix is really in love with Voldemort, however the feeling is not mutual... He just uses her for his own personal gain.
You may have to write one yourself.
Not romantically, if that's what you mean...
They are not related. Bellatrix is Voldemort's most dedicated follower, she revered and venerated him.
Voldemort is incapable of love. This is why Harry is able to defeat him.
No, they work on opposite sides. Bellatrix Lestrange works for Voldemort, Snape works for Dumbledore / for the Order of the Phoenix, that is, for the anti-Voldemort movement.
Bellatrix has a daughter named Demetra.
Bellatrix Lestrange is one of Voldemort's Death Eaters. Therefore she is a bad guy.
Molly Weasley did her in, and Voldemort knew it.
Bellatrix Lestrange was the closet and most devoted servant of Voldemort. She was also in love with him but Voldemort couldn't love.
Definitely not. Bellatrix hates Snape and is suspicious of his loyalty to Voldemort. Plus he is a lowly half-blood.
Sirius Black was murdered by his cousin, Bellatrix Lestrange, because she is the crazy, murderous type. He wasn't on Voldemort's side and Bellatrix was one of Voldemort's loyal servants.