Could my DELL Latitude 15 3510 laptop battery over charged?

According to dell official: No, Dell laptops are designed to stop charging the battery when it reaches full charge. Once the battery is fully charged, the Dell laptop will continue to use power from the AC adapter.

original Latitude 15 3510 battery

When your DELL Latitude 15 3510 has any charging issue, we suggest you try the following suggestion first, it is quite easy and effective. The solution is to uninstall and reinstall Microsoft ACPI Battery driver.

• Press the Windows key + R on the keyboard.
• In the Run dialog box, type devmgmt.msc and press the Enter key on the keyboard.
• In Device Manager, click > or + sign next to Batteries.
• Right-click Microsoft ACPI-Compliant Control Method Battery, click Uninstall.
• Click OK to confirm uninstalling the driver.
• Restart the PC.

When you decided to replace this battery, you need to make sure the battery type is 9077G, TXD03 or H5CKD. You can find it is available here: 

https://www.storebattery.co.nz/dell-txd03-15v-3530mah-laptop-battery-store-for-new-zealand-p-396332.html