I am not sure what school you are graduating from or how strong a student you were (or how much tuition you invested!), but civil engineering is a wonderful profession that weathers most any economic storm. Civil engineering contributions are so basic to society, that local, regional and global communities cannot do without such talent. Thus, hiring in our industry probably never ceases.
I have not heard of any slow-down in hiring recently. (I work in transportation engineering, but I imagine construction engineering and structural engineering design opportunities slowed down, along with most hiring [in any discipline], a few years ago.) Texas is also a great place to be looking, and Houston, with its tremendous population, will have more CE options than almost any other U.S. region.
As a more mature (re-entry) student, you probably will have even better prospects, everything else constant. (Maturity counts for a lot, in my experience!) I hope you attended a public university, where great civil engineering educations happen and students regularly graduate without any debt. I would not worry about “connections”. (I have seen none of that in our industry, thank goodness. Engineers tend to offer positions based on very fair competition, in my experience.)
Congratulations to you & your wife! (It sounds like you have a doctor in the family. What a nice combination of talents in a single household.)