I have two boys, 5 and 3. They eat anything from asparagus to zucchini. Friends have asked me how I've accomplished this, so I've summarized the rules that I follow with my family. I've pasted them here for you. #6 and #7 are probably most relevant to your situation. 14 months is still young...but if you keep these in mind as a future goal - slowly working towards them, and take the great suggestions by other Mothering members, you'll have a veggie lover! I truly believe this is why I don't have picky eaters. To your health!
#1 Meals are served at the table and eaten as a family at the same time. Snacks are eaten at the table too.
#2 Everyone eats the same thing for the meal. No preparing separate things for separate people.
#3 Put some of each dish (e.g.. meat, veg, starch) on each person's plate. Serve only healthy, natural, whole foods. Put small amounts of food on the children's plates, what you reasonably expect them to consume.
#4 The only food available for eating is what is on the table. Don't allow the children to help themselves to the refrigerator or pantry.
#5 Don't force a child to eat. Don't make her sit there until she finishes. Excuse her from the table when you see fit, but don't scrape the food from her plate. Either leave the plate on the table or put plastic over it and put it in the refrigerator.
#6 No seconds on one food item until the child has eaten everything else on their plate. You may be thrilled that your child ate her meat and asked for more, but don't allow more until she finishes her peas and potatoes too.
#7 No snacks or dessert after meals unless the child ate the previous meal. If your child says she's hungry, direct her back to her meal plate on the table. No exceptions. These (6 & 7) are the most important rules. You simply tell the child, "If you're not hungry enough to eat lunch, then you're not hungry enough to eat a snack."
#8 No snacks just before a meal, i.e. no spoiling appetite. One exception: if the child is chomping at the bit, and she just can't wait for dinner, and there's nothing left of the meal before, then you may serve cut up raw veggies.
#9 The only thing available to drink is water. No milk (except breast milk), no juice. These tend to fill the child up and don't offer the same nutrition as eating whole food.
Follow these rules every day. Enforce them 100%. Remember, you are the parent...you know what's best for your child. Your children will be eating better in no time. Children are wonderfully adaptive. They'll become accustomed to the rules and embrace the new healthy habit.