Starter keeps running

Last night when I got home, reconnectd the battery expecting the starter to kick-in again and nothing happened. Started the car no problem, re-started it several times with no issue other than one attempt I heard the starter stay engaged for about 2 seconds and then quit itself. inspected all the wiring to the starter etc and nothing has been melted or compromised.
Parts store did not have relay in stock yesterday so I am picking one up after work today.
Thanks for the advice and help, after relay install I hope the issue is gone.