The Great Escape by Thea Harrison

From best-selling author Thea Harrison comes a vintage contemporary romance, originally published under Amanda Carpenter in 1984.

Escaping power-hungry relatives determined to control both her and her fortune, Dee Janson has spent nine months on the run. She’s managed to stay one step ahead of the private investigator her aunt and uncle hired to find her, but she knows she can’t run forever.
Mike Carradine’s mission is to track down a runaway heiress and return her to her family. But Dee isn’t what he expected, and he finds himself drawn to her in ways he can’t explain. As Dee and Mike get closer, the chemistry between them is undeniable. Will it be enough to sway Mike from his mission, or will he betray Dee in the end?