Lawes makes his first international appearance since facing Australia last autumn after winning his battle with an ankle problem.
Brown returns after missing the 19-9 defeat by Ireland because of the concussion he suffered against Italy, replacing Alex Goode in the starting side.
The last three changes to the matchday 23 see tighthead prop Kieran Brookes, second row Geoff Parling and flanker Tom Wood named on the bench.
Lawes has replaced George Kruis to reprise the second row partnership with Dave Attwood that was seen throughout the autumn, and his presence offers England a greater carrying threat and more solidity in defence.
The restoration of Brown in the number 15 jersey will also be welcomed by Lancaster, with his tenacity and decision-making missed in the Grand Slam-ending loss in Dublin.
Brookes is back after recovering from a hip flexor problem and will offer tighthead prop cover for Dan Cole.
Parling’s experience sees him replace Nick Easter, providing a specialist second row option on the bench with Kruis dropping out of the 23.
The final change sees Tom Wood picked following his successful recovery from an ankle injury.
England are hoping to resurrect their Six Nations title chances by putting Scotland to the sword, but need Wales to do them a favour against Ireland in Cardiff on Saturday.