You mean the six character PNR number? If it is the same for both, you probably have a through ticket. Without seeing it, it is impossible to say.
Continental would only have sold such a connection if the times were realistic, though it does seem very tight. If your incoming flight into Houston is delayed, they will probably hold the outgoing flight. You will probably not be the only person making that connection. Make sure that they know you have a tight connection if there is any delay, just in case they overlook it.
If they don't hold the onward flight and you miss it, normally Continental will just put you on the next available flight at no cost to yourself. I presume they would also pay your overnight expenses, if need be.