He met the detective. (He is an officer and he wanted to talk to the detective about the murder).
"Yes, her name is Laura and the man's name is Nick. He was stabbled to death and the woman was strangled, but it wasn't a burglary as the house wasn't turned upside-down as
itusually happens in these cases. We have been informed today that somebody has withdrawn money from their account. It is a large sum - several millions. (should I add 'of money?' NO!)
"Yes, she was rich. But how rich I don't know. I just gave her a lift.
and then drove her back. On the way home she asked me to take her to the drugstore and then we went directly to her home."
"Who could have done it? Who was there?"
Officer Jack really felt for her and her husband. A few days later the detective came to the police station where Jack worked.
"Jack, I am obliged to arrest you on suspicion of double murder."
"What? That's nonsence! What murder?"
"The murder of a couple in your district."
"Why should I have killed them? I didn't even know them."
I wonder if I can post longer translations than this one. I wouldn't advise it. Short posts get answered quicker.
And what other synonyms of 'to give somebody a lift' can I use?
'give somebody a ride'.
Take more care with your inverted commas.