The woman, who lives in Great Barr, detailed the alleged harassment and her frustration at the police's response in a Twitter thread on Wednesday.
The first post claimed that the neighbour in question had bulled and racially abused her, as well as intimidating her 12-year-old daughter.
The thread then detailed how she had called 101 and 999 expecting an immediate response but had not received a visit from the police more than a week later.
She said she had called the police on several occasions and that an officer had visited her neighbour's home but not hers, despite her being listed as a vulnerable person after her partner was shot dead three years ago.
However, after the first post was retweeted more than 13,000 times and liked more than 45,000 times in one day, West Midlands Police has said officers have now arranged to visit her home.
The force said it had already spoken to both neighbours and is investigating allegations made by both people.
A spokesman for West Midlands Police said: "We are currently investigating allegations of harassment, racial abuse and criminal damage involving two neighbours in Great Barr.
"We have spoken to the man and woman involved about the allegations and counter-allegations.
"Following concerns raised about the investigation by the woman, we have spoken to her again today and officers have arranged to visit her home later today to take a statement.
"We are continuing to investigate all allegations by both parties."
Examples of the alleged harassment include the neighbour shouting racial slurs, calling the police and council with false allegations and pointing cameras at her home.