Officers received 10 calls after the appeal about the attack and robbery near Shotts, Lanarkshire. The man broke into the 32-year-old's home and demanded she hand over cash.
Once tied up, the woman was subjected to a sexual assault by the man, who was wearing tights over his head. He then escaped in a green BMW, having stolen a four-figure sum of money.
The "specifically targeted" attack happened at about 8.30am on September 5 last year.
Detective Chief Inspector Garry Church, said: "I am extremely pleased with the public response following the appeal. We received 10 calls and three callers passed us names, with two people giving the same one.
"The information will now be followed up by the inquiry team."
Meanwhile, police revealed more than 150,000 people have read an appeal by detectives hunting the killer of Glasgow mother Jean Campbell.
Mrs Campbell, 53, was last seen heading towards Cranhill Park while walking her dog on December 13. Her body was found about 7.40am the next day - just yards from her home - by her husband.
CCTV footage of Mrs Campbell in a local shop, and walking the dog near the park that night, was shown during the Crimewatch appeal.
Police put an appeal on Facebook last week and said the response had been "very positive."
Detective Chief Inspector Colin Carey, from Police Scotland's Major Investigation Team, is leading the investigation.
He said: "All the information we get is followed up by the team of detectives involved in this inquiry with support from local officers. Nothing passed to officers will be ignored."
Anyone with information on either appeal is asked to call 101.