What did a medieval royal midwife earn?
A pension of 10 pounds a year for delivering the queen's babies.
About $1,600 a month in today's gold.
A month of that pay weighs about as much as 3 dice in gold.
The first English midwife with a name on the record, and a pension to go with it.

Where the money came from
Marjory Cobbe is the first midwife in English history whose name was written down. She attended Queen Elizabeth Woodville, wife of Edward IV. Noble families often kept a midwife of their own, who also helped with other matters of women's health, though such women's training was often poor and informal. On 15 April 1469, a month after the birth of Princess Cecily, Cobbe and her husband John were granted £10 a year for her attendance on the queen, to be paid from the revenues of Staffordshire. Historians read the grant as a sign of long and trusted service, perhaps since the birth of Princess Mary in 1467. In October 1470 Edward was driven from the throne, and the pregnant queen took sanctuary in Westminster Abbey. There, on 2 November, Cobbe most likely delivered her son, the future Edward V, with the help of the royal physician Domenico de Serigo. In 1473 parliament made sure that none of its acts could harm her grant, and its roll named her as John Cobbe's widow and the queen's midwife. In 1475 the pension was renewed, now paid from the revenues of Devon. A queen's midwife was still paid the same a generation later: in 1503 Alice Massy, midwife to Henry VII's queen, received a salary of £10, exactly what Cobbe had been granted.
Sources: en.wikipedia.org · archive.org
What a royal midwife's pay bought in 1350
a hen: less than a day's pay
a pig: a week's pay
a cow: 4 weeks' pay
a year at Oxford: 15 months' pay, more than a whole year of it
a craftsman's townhouse: 22 months' pay, more than a whole year of it
Every price of 1350, with its source, is on the prices page.