Judging from the medals shown on the reverse and the fashion of the woman's clothing, the date is between 1885 and 1889ish. Negative books for this studio are very unlikely to have survived, so the chance of determining subjects' names from the negative number are practically nil.
Your best bet, if they are family members, is to estimate ages, and therefore approximate dates of birth, and look for suitable candidates who are likely to have been in Burton-on-Trent in this time frame.
Regards and best wishes, Brett