Did you want me to make a list of clues for smaller baby items, like a rattle (eg. you can't shake and roll properly without this popular baby item), jar of baby food, bib (eg. When baby eats and makes a mess, this helps protect her brand new dress), etc. And then you hide those items around the search area (possibly in plastic bags so that you can give them to the mom-to-be later) or will it be too easy for guests to find such items?
Because of the limitations of the location another idea would be to hide letters that spell a final location and hide those letters (one team may have to look for blue letters, another pink, another yellow, etc.) Teams would then need to unscramble their letters to find the location of a hidden prize. First team to make it to the prize location would win the prize.
Another idea would be to have a signature hunt for scenarios related to babies and birthing (eg. get the signature of someone who was born breech, get the signature of someone who was born in another country, get the signature who was born more than one month premature).