The two teams would be meeting each other at Headingley after nineteen years. While the hosts beat India in 1952, 1959 and 1967, they tasted defeat in 1986 and 2002.
Burns batted for more than two full sessions, facing 187 balls, before England reached stumps on 258-7.
Lawrence was with Mark Wood (16 not out) at stumps in front of a boisterous crowd of 18,000 at Edgbaston and just 14 runs off Burns' top scorer of 81, which backed up the opener's 132 at Lord's.
England opener Rory Burns is unbeaten on 59 and captain Joe Root on 42 not out after the hosts reached stumps Thursday on 111-2 in the first innings.
It was yet another blow to a squad hit hard by illness, while fast bowler Jofra Archer is a doubt to start at Newlands because of an elbow injury.