Probably not, unless this runaway slave was someone you knew personally. Running away happened often, but dramatic stories of long-distance flight, like those of Frederick Douglass or Eliza in Uncle Tom's Cabin, were not common. The risks were very high. Many cases of running away were temporary and involved hiding in the woods near the plantation for a few weeks or months. These individuals would be given food from their friends and family. Often, those running away over longer distances were returning to previous plantations or following family members to new plantations, in which cases they hoped to make contact with people who knew them. You might try to lose yourself within the community of free and quasi-free blacks in cities and large towns, but this was difficult because patrollers were always checking on these residences for strangers. Running away was usually a way to resist conditions of work and discipline on the plantation, a negotiation tactic, if you will. So you wouldn't go very far from people who knew you and could help you.

It was illegal to help runaway slaves, so asking a stranger for help out of the blue was very risky. Even in Cincinnati and points north, finding trustworthy people was difficult, unless you had already made connections via the Underground Railroad (which has a tremendous amount of mythology built around it and was really not that significant). Enslaved men and women were sometimes told that if they were caught by Northerners, their eyes would be gouged out and they would be forced to work in mines. They had very little understanding of Northern geography and society.

Going back to colonial times, Indian communities were a possible refuge, but this was also very risky. Sometimes Indians would use runaways as slaves themselves. Sometimes they would return them for the reward, or sell them on the market. In time of war, Natives sometimes viewed black slaves as a threat and would kill them along with their white owners. Blacks and Indians did not necessarily see each other as allies, although this is a huge topic covering a gigantic chronological and geographic scope.

One topic I can't address with the resources at hand is the issue of runaways crossing borders between English, Spanish, and French territory. I know it happened, but I don't know the details, or if it would involve the scenario you're asking about. Stono's Rebellion in 1739 was a famous example of a group effort to get from South Carolina to Spanish Florida. If they had made it across the frontier, who would have picked them up, and under what circumstances? I don't know.

On the 19th century, the best work is Franklin and Schweninger, Runaway Slaves: Rebels on the Plantation (2000).