Hi N.,
I'm a dental hygienist in the south suburban area. I don't know of any dentists in the Beverly area, but one that I recommend is in Palos Heights. I'm not too familiar with Beverly, so I don't know how far of a drive it would be for you. Anyway, his name is Phil Collins and the office # is ###-###-####. He does see children, but so will most offices. You can go to a ped's dentist if you want, they generally have more 'kid-friendly' equipment, but if you don't care that the gloves aren't flavored, then a general dentist should be fine.
Also the office I'm at right now is great (if I do say so myself!) ;-) We are in Oak Forest. The name is "Perfect Smiles" and we are a all women's office. You can check us out on our website, www.allperfectsmiles.com
Hope that helps. If both places are too far for you, I would keep working on getting the personal recommendations. I hate knowing that people come to my office just because their insurance listed us!
:-)
S.