NOTE: I don't own this device. Please report back any problems / corrections.
These devices need their own special kernel module, and do not use webcamd. Namely, this driver supports the Hauppauge WinTV HVR-4000
and similar chipset devices. More information about these devices is available from the cx88 wiki page. You can also find the cx88 listed in the FreeBSD WebcamCompat page.
This howto configures the necessary cx88 kernel modules to be loaded by Finch. You will need to follow the steps here. Most of these commands can just be copy-pasted. The Kernel modules must be installed directly in Finch's chroot. That can't be done in a jail.