  We examine cross sections for the processes $\gamma N\to NK\bar{K}$ in the
framework of a phenomenological Lagrangian. We include contributions from
$\Lambda$ and $\Sigma$ resonances up to spin 3/2, as well as those from an
exotic $\Theta^+$. We allow the $\Theta^+$ to have spin 1/2 or 3/2, with either
positive or negative parity in each case. We also allow the state to be either
isovector or isoscalar. We find that the scenario that most closely matches
observations at Jefferson Laboratory requires a moderately large coupling of
the $\Theta^+$ to $NK^*$.
