Very much so!! If the tick tests negative for any diseases, then they can rest easier knowing that it's not likely that the baby will have to face any consequences from having a tick attach!
On the other hand, an ounce of prevention ...... be sure to remind them that they need to remember this should the baby grow up and start having unusual symptoms (of any tick-borne disease), as we all know that this can come back on a person later in life.
It's sure a good thing that they have you in their life!!!