A Lancastrian careerist, Bispham is first recorded in 1387 when already the duchy feodary in Northamptonshire. He was to serve as bailiff of Leicester by John of Gaunt’s appointment from 1391, if not earlier, until 1403, throughout that period being resident in the borough, where he witnessed some 50 and more transactions. In 1397 he stood surety for the attendance of Thomas Wakefield at the January Parliament. Meanwhile, in 1392-3 and probably at other times, he had acted as deputy to Sir Thomas Walsh, steward of the honour of Leicester. Service to Duke John earned him as reward an annuity of £5 for life.
During the crisis of 1399, Bispham appears to have at first remained at Leicester, but to have joined Henry of Bolingbroke with a body of supporters later, perhaps when the duke passed through the town in mid July. He was back in Leicester on 5 Sept. but went to London, again with his men, to serve in the first Parliament of the new reign. During the session he was granted a second annuity of 1s. a day for life, and shortly afterwards he was made duchy of Lancaster feodary in Warwickshire and Leicestershire, which office he held until his death. It was doubtless in this capacty that he attended the Leicestershire parliamentary election in 1407.
Having become a person of some consequence by virtue of his official position, in about 1405 Bispham entered the ranks of the local gentry through his marriage to Elizabeth, daughter and by then only heir of Sir John Waleys of Swithland, an estate ten miles north of Leicester. In her right he held not only the manor of Swithland but also property in Dalby-on-the-Wolds, Barrow-upon-Soar and Mountsorrel, elsewhere in Leicestershire, and the manor of Thrumpton in Nottinghamshire. While he was married to her, Elizabeth revived her claim to the manor of Dalby, which her father had exchanged for Thrumpton with the prior of the Hospital of St. John of Jerusalem; but despite his impressive connexions he was unsuccessful. In 1406 Bispham placed his wife’s holdings in the hands of trustees, namely John Leventhorpe, the receiver-general of the duchy of Lancaster, and three other Lancastrian officers.
Bispham died at an unknown date between May and November 1408. All his goods (which were valued at more than £40) were confiscated by the King in part-payment of his arrears in the office of duchy-feodary, but his widow, who claimed to be destitute, subsequently recovered them after petitioning for redress. Elizabeth took as her third husband, before 1413, John Mapilton the younger, who so starved and ill-treated her that she sought refuge at the home of her daughter Alice. She died before Michaelmas 1415.