Usually, figs are not one of the fruit trees for which removing some of the fruit will help ripen others. 

It is still pretty early in Maryland for ripe figs. Figs in our area don't usually ripen until late summer through mid-September. Have you had this plant for at least a few years and typically get figs by now? It looks like it is an in-ground plant and not container-grown. Did it suffer any winter dieback this year? Many figs in our region did, or with the late freeze we had after warm weather this spring. 

From our fig resource page: Figs require patience, as it can take up to two months from the beginning of fruit formation to full ripeness. If figs don’t develop or ripen before the end of the season:

• Main stems may have been killed by cold weather. Fruits produced on new shoots that emerged from roots in the spring won’t have time to ripen.
• Growing conditions are stressing the plant, such as excessive fertilizer, extreme heat and drought, inadequate sunlight (less than 8 hours of full sun), a short growing season, and crowded branches

Some methods you can try for helping your plant produce more figs or more ripe figs before the end of the season: 

• Prune back or "pinch back" the newest growth in early Spring. Figs will grow on the current season’s growth, which means you’ll only get main season figs on the new growth at the end of the branch. Some trees have an early crop (breba) that grows on last season’s growth (typically not in our area but maybe since you are in Baltimore City). A good way to ensure that all your figs will ripen is to keep the new growth to a minimum by “pinching.” This method of reducing the number of fruits allowed to grow is similar to pruning a fruit tree and should be done in the spring after the plant sets its first leaves. To do this next year, find the branches from this year’s growth – they should be green and supple compared to the previous year’s growth. Count the leaves on the current growth starting from the trunk side, and pinch off the growing tip so that only 5 or 6 leaves remain on the branch. 
• Remove some leaves around the existing fruit so more sunlight hits them.
• Provide additional water since we have been in drought conditions for some time now. You could also try to lightly fertilize your plant through the end of the growing season with a water-soluble fertilizer suitable for edible plants. Follow the label directions for the amount and frequency. If you have fertilized this year, then just stick to water. If you haven't, cut the recommended dose in half when watering so the plant doesn't only produce new growth. 
• You can try to remove some of the newest and smallest figs to see if that helps the larger ones ripen. You may want to wait a few weeks before doing this since it is still early to harvest figs. If you decide to remove some, take the smallest figs furthest from the main stems or branches. 

Review the link to the fig page for more growing tips, and give it some more time for the figs to ripen. 

Let us know if you have further questions, 

Emily