The Edison installer is very simple and just installs services for http/80 and ssh/22.
If you would rather use the existing http connection on a different port, then just edit the Weavedhttp80.conf in /etc/weaved and add the line:
after the encoded block of text (right above the UID is fine). Substitute your port of choice for 1880. Restart the daemon (or reboot your Edison). I believe the restart command would be:
systemctl restart weavedHTTP.service
Let me know if this works for you or if you'd rather install a new http connection while keeping the one on port 80 working.