Last week 14 ministers from the Presbytery of Inverness, Lochaber and Ross wrote an open letter urging Mr Brown to upgrade the road between Perth and Inverness to a dual carriageway as a matter of urgency because they do not want to conduct any more funerals from accidents on the road.
Despite road casualties in Scotland being at their lowest level since records began, about 100 people have been killed on the 113.4-mile section from Perth to Inverness since 2006.
Now Mr Brown has written directly to Reverend Colin Macleod, the Moderator of the Presbytery of Inverness, Lochaber and Ross, inviting him to a meeting to discuss the Scottish Government's plans to dual the Inverness-Perth stretch. The meeting will be at the Scottish Parliament on Thursday.
Mr Macleod said: "There is a growing consensus the dualling of this stretch of the A9 as quickly as possible is the most sensible option and one that is likely to substantially reduce fatalities and collisions on this road."
He said the Free Church fully appreciated dualling of that section was not a simple project, but members of the delegation were hoping to convince the Scottish Government to fast-track its plans and bring the date for completion forward.
"We know this is not just an issue affecting Free Church folk, but all of our communities across the Highlands, not to mention the hundreds of thousands of people visiting the region every year," said Mr Macleod.
"We are grateful for the Transport Minister's willingness to listen to our concerns, and hope the meeting will have a positive outcome for all concerned."
Last month a crash involving two cars killed three people near Kingussie. Abigail Houston, 42, and her seven-year-old daughter Mia, from Edinburgh, died. The crash also claimed the life of Dr Mohammad Ali Hayajneh from Duisberg, Germany.
In the wake of that tragedy Professor Donald Macleod, former principal of Free Church College in Edinburgh, who lost a friend in a crash on the A9 more than a decade ago, branded the number of people killed on the road a "shame to the nation".